What is the Biblical basis for the notion that the wicked are resurrected in immortal bodies just like the righteous?

In John 11:23-26 Jesus is speaking about resurrection and life and it is helpful to make a distinction between the two types of resurrections. One can be resurrected and not be made incorruptible and immortal yet.

Resurrection, in its lowest form, is a raising from the dead, but not to immortality. But the highest form of resurrection is to immortality.

Jesus said to her, I am the Resurrection AND the Life. He who is believing into Me, even If he should be dying, will be living. And everyone who is living and believing into me by no means dying for the eon. John 12:26

This resurrection also has been given Christ's life with it.

There are two resurrections. One He called the resurrection of life, the other the resurrection of judgment.

Do not marvel at this, for an hour is coming in which all those in the tombs will hear His voice, 29and will come forth—those having done good to the resurrection of life, and those having done evil to the resurrection of judgment. John 5:28-29

The resurrection of judgment will keep those from seeing the face of the Lord for the age or eon. That judgment will be according to the acts of those along with the light that they had received.

who shall suffer justice -- destruction age-during -- from the face of the Lord, and from the glory of his strength, 2 Thessalonians 1:9 YLT

There are only three resurrections that lead to immortality. First, that of Christ Himself, second, those that are His at His future "presence" and lastly all mankind at the consummation when all will be made alive and death is abolished. 1Co. 15:22-28

Christ is life. Since this life beyond the reach of death is imparted only on three occasions, it follows that every other resurrection is not a "resurrection of life". Those raised in the past and those at the great white throne are still subject to death. They are not made immortal until the consummation , when death is abolished, and life is the portion of all. 1 cor. 15:22-28 Concord commentary

It is good to remember that eternal life can only be applied to that which had no beginning and has no end so no one but God has eternal life. We are given life for the ages as well as being made incorruptible and immortal in Christ.

The word aion and aionios has been mistranslated as eternal in so many passages of scripture thereby causing much confusion.

Cognate 166 aiṓnios (an adjective, derived from 165 /aiṓn ("an age, having a particular character and quality") – properly, "age-like" ("like-an-age"), i.e. an "age-characteristic" 166 /aiṓnios). See 165 (aiōn). [166 (aiṓnios) does not focus on the future per se, but rather on the quality of the age (165 /aiṓn) it relates to.

So once again there will be resurrection for those who will be suffering for an age as well from the face of the Lord for a period of time that will come to an end as all ages do.

who shall suffer justice -- destruction age-during -- from the face of the Lord, and from the glory of his strength, 2 Thessalonians 1:9 YLT

Several verses that talk about resurrection use terminology such as the dead which doesn't distinguish righteous vs unrighteous/wicked. (Mark 12:46, John 5:21, Romans 4:17, Acts 17:32)

Here are some of the most clear verses on resurrection (not to be considered all conclusive)

Job 14:14

If someone dies, will they live again? All the days of my hard service I will wait for my renewal to come.

John 5:28-29

28 “Do not be amazed at this, for a time is coming when all who are in their graves will hear his voice

29 and come out—those who have done what is good will rise to live, and those who have done what is evil will rise to be condemned.

Acts 24:15

and I have the same hope in God as these men themselves have, that there will be a resurrection of both the righteous and the wicked.

1 Corinthians 15:22, 51

22 For as in Adam all die, so in Christ all will be made alive.

51 Listen, I tell you a mystery: We will not all sleep, but we will all be changed—

1 Thessalonians 4:16 (first can conclude at least second as well)

For the Lord himself will come down from heaven, with a loud command, with the voice of the archangel and with the trumpet call of God, and the dead in Christ will rise first.

Revelation 20:6, 12 (if first resurrection, can conclude there is at least a second as well)

6 Blessed and holy are those who share in the first resurrection. The second death has no power over them, but they will be priests of God and of Christ and will reign with him for a thousand years.

12 And I saw the dead, great and small, standing before the throne, and books were opened. Another book was opened, which is the book of life. The dead were judged according to what they had done as recorded in the books.

The only passage necessary is that in which Christ says:

Matthew 10:28 And fear ye not them that kill the body, and are not able to kill the soul: but rather fear him that can destroy both soul and body in hell.

Clearly, fear only accompanies conscious beings, and in any case is no threat to any non-conscious being. In any case, Jesus promises us that the body will be punished in hell along with the soul. One is never apart from the other.

But in Daniel, we also read:

Daniel 12:2 And many of those that sleep in the dust of the earth, shall awake: some unto life everlasting, and others unto reproach, to see it always.

This obviously refers to the sleep of death so named because the body ceases to move, talk or show signs of life. But both shall awake, the just and the unjust, some to life, and others to reproach. The awakening is in the body, since the sleep was in the body, but some suffer, and some are rewarded. Indeed, lack of suffering in the afterlife would mean someone could live as wickedly as they wanted and suffer no ill consequence — one cannot suffer when one does not exist!

Moreover, in Revelation 14 we read:

Revelation 14:11 And the smoke of their torments shall ascend up for ever and ever: neither have they rest day nor night, who have adored the beast, and his image, and whoever receiveth the character of his name.

Rest is taken from work — or from punishment for suffering or enduring hardship. Non-existent beings cannot even tentatively take rest, or do that from which rest can be taken.

John describes the fate of those who follow the antichrist regime.

This is the same "for ever and ever" that we read in Revelation 1:

Revelation 1:17-18 And when I had seen him, I fell at his feet as though dead. And he laid his right hand upon me, saying: Fear not. I am the First and the Last, and the living, who was dead: and behold I live for ever and ever, and have the keys of death and of hell.

Again, remember Jesus taught body and soul both, not separately or disparately, suffer in hell.

Moreover, Josephus tells us what the Pharisees (i.e. the sect to which St. Paul belonged, even after his conversion to Christ, cf. Philippians 3:5, Acts 23:6) believed concerning the afterlife:

Now for the Pharisees, they live meanly, and despise delicacies in diet; and they follow the contract of reason: and what it prescribes to them as good for them they do: and they think they ought earnestly to strive to observe reason’s dictates for practice. They also pay a respect to such as are in years: nor are they so bold as to contradict them in any thing which they have introduced. And when they determine that all things are done by fate, they do not take away the freedom from men of acting as they think fit: since their notion is, that it hath pleased God to make a temperament; whereby what he wills is done; but so that the will of man can act virtuously or viciously. They also believe that souls have an immortal vigour in them: and that under the earth there will be rewards, or punishments; according as they have lived virtuously or viciously in this life: and the latter are to be detained in an everlasting prison; but that the former shall have power to revive and live again. On account of which doctrines they are able greatly to persuade the body of the people: and whatsoever they do about divine worship, prayers, and sacrifices, they perform them according to their direction. Insomuch, that the cities give great attestations to them, on account of their intire virtuous conduct, both in the actions of their lives, and their discourses also.

This "under the earth" is that which St. Paul refers to in Philippians 2:

Philippians 2:10 That in the name of Jesus every knee should bow, of those that are in heaven, on earth, and under the earth:

As well as Revelation 5:

Revelation 5:3 And no man was able, neither in heaven, nor on earth, nor under the earth, to open the book, nor to look on it.

And Ephesians 4:

Ephesians 4:9 Now that he ascended, what idoes it mean, but that he also descended first into the lower parts of the earth?

Clearly there was a belief that the underworld and the spiritual afterlife began at least by "going" to a subterranian holding place of spirits (cf. 1 Peter 3:19-20). 'The Science' that at earth's core there is unimaginable heat could have more truth to it than at first thought...

Now while all these writings await the general resurrection (i.e. in which the body will follow the soul to its eternal destiny), they nonetheless support the reality expected.

Was the purpose to detain evil people in this spiritual place to decimate and erase their existence as...punishment? In no way would that be punishment. A being which does not exist cannot suffer anything, much less punishment. In no way could it correspond to be opposite to the reward of heaven.

What is the Biblical basis for the notion that the wicked are resurrected in immortal bodies just as the righteous are?

There are many passages like 1 Corinthians 15:52-53 which indicate that believers are to be raised with immortal, incorruptible bodies:

In a moment, in the twinkling of an eye, at the last trump: for the trumpet shall sound, and the dead shall be raised incorruptible, and we shall be changed. For this corruptible must put on incorruption, and this mortal must put on immortality.

As for the resurrection of the wicked there is no distinction ever made between body types that I can find. A distinction is made concerning the purpose of the resurrection for the righteous and the wicked:

Marvel not at this: for the hour is coming, in the which all that are in the graves shall hear his voice, And shall come forth; they that have done good, unto the resurrection of life; and they that have done evil, unto the resurrection of damnation.

But no distinction between types of bodies for the two categories is ever made. Scripture simply says that at some point ALL of the dead will rise:

And have hope toward God, which they themselves also allow, that there shall be a resurrection of the dead, both of the just and unjust. - Acts 24:15

And I saw the dead, small and great, stand before God; - Revelations 20:12a

Where Scripture makes no distinction any distinction we attempt to make resorts to speculation. Since we have some description of what the bodies of the righteous will be like and no different body type ever described for the wicked, there is no clear biblical basis for the dead to be raised in different kinds of bodies.

There is, however, a strong implication in 2 Thess. 1:9 that the wicked are raised with the same type of incorruptible bodies as the righteous:

Who shall be punished with everlasting destruction from the presence of the Lord, and from the glory of his power

Eternal destruction from the presence/face of the Lord. The face of the Lord is not the cause of the destruction...it is the face of the Lord that is ever turning away (apo). Face here is:

προσωπον (prosopon) and together with the prefix προς (pros), which describes a motion toward: the noun προσωπον (prosopon), literally describes the area in which the eye sits: the face or countenance, and by extension a person's attention or inclination. It often occurs in phrases such as "to turn the face toward

...only, in this instance it is turning away. It is eternal destruction "away from" (apo) the "turning toward of the face" (prospon) of the Lord.

The wicked are eternally removed from the attentive gaze of Almighty God. He will no longer turn to the sinner's cry for mercy. He will never stop actively not turning. There is no indication that the animating force is removed from the resurrected body but there is an end to the merciful and grace filled attentions of God who would have all to come to repentance.

Hence, the immediacy of the plea; "Today, if you hear His voice, harden not your heart."