Matthew 16:15-18
He saith unto them, But whom say ye that I am?
And Simon Peter answered and said, Thou art the Christ, the Son of the living God.
And Jesus answered and said unto him, Blessed art thou, Simon Barjona: for flesh and blood hath not revealed it unto thee, but my Father which is in heaven.
And I say also unto thee, That thou art Peter, and upon this rock I will build my church; and the gates of hell shall not prevail against it.
Jesus is saying He would build His Church upon revelation knowledge, not on Peter.
There's no record in the NT that the other Apostles though Peter was the lead Apostle or that He was in authority over all other Apostles.
John 16:14
He (Holy Ghost) shall glorify me: for he shall receive of mine, and shall show (reveal) it unto you.
Peter was not any more special than the rest of the Apostles.
At the Council at Jerusalem where all the Apostles had the big meeting to figure out if Christians had to be circumcised or not... the overseer what the Apostle John, not Peter.
If Pete was "the pope" and was in authority over all other Apostles, then he would have presided over the meeting but he did not.
When the disciples argued over who among them would be the greatest (Luke 22:24, Luke 9:46, Mark 9:33), Jesus and the other disciples did not indicate Peter was in authority over the other disciples.
Since catholics forbid their minsters to marry (which is a doctrine of demons, see 1 Timothy 4:3-6) we know Peter could not have been a pope or a minister among catholics because God's Word tells us Peter was married and has a wife (Matt. 8:14-15, Luke 4:38-39)
Scripture describes the Church’s foundation in at least five ways. You can’t pick one and ignore the others.
Paul was not speaking of the universal Church’s foundation. He was referring to how he started the local church at Corinth, of which Christ is the irreplaceable foundation. One can extend this concept to the universal Church, but not without taking into account other things the New Testament has to say.
In 1 Peter 2:6, Isaiah 28:16 is applied to Christ: “Behold, I am laying in Zion a stone, a cornerstone chosen and precious, and he who believes in him will not be put to shame.” Here the word for “stone” isn’t petros (the name Jesus gave Peter) but lithos. Further, 1 Peter 2:6 says Jesus is the Church’s “cornerstone” (Greek, akrogōniaios). A cornerstone is only one part of a foundation—the corner part of it.
Ephesians 2:20 says the household of God is “built upon the foundation of the apostles and prophets, Christ Jesus himself being the cornerstone.” The prophets here are likely prophets of the New Testament age, as made clear by the other two references to them in the epistle (Eph. 3:5, 4:11). Together with the apostles, they form the Church’s foundation in this passage, with Christ as the cornerstone. The fact that Paul wrote this passage and 1 Corinthians, shows there is no contradiction in his mind between Christ being the foundation in one sense and others being the foundation in another.
1 Corinthians 3:11 says ‘For no other foundation can any one lay than that which is laid, which is Jesus Christ’ Paul was not speaking of the universal Church’s foundation. He was referring to how he started the local church at Corinth, of which Christ is the irreplaceable foundation. One can extend this concept to the universal Church, but not without taking into account other things the New Testament has to say.
In Revelation 21:14, the New Jerusalem is said to have twelve foundations with the names of the twelve apostles written on them. Note that the Twelve were a select group who had followed Jesus during his ministry (Acts 1:21–26); not even Paul and Barnabas, who also were apostles (Acts 14:14), were members of the Twelve.
Finally, in Matthew 16:18 Jesus says: “And I tell you, you are Peter, and on
this rock I will build my Church, and the gates of hades shall not prevail against it.”
We thus see that Scripture does not depict the foundation of the Church just one way, and what Jesus says to Peter must be given its due. The Church is
not saying that Peter is the foundation of Jesus’s church here on earth
apart from Jesus, it’s only
in and through Jesus.” Just like, we’re not the light of the world apart from Jesus but only in as much as we’re in Jesus. We’re living stones only in as much as we’re in Christ.