In Matt 16:18, Jesus said he will build his Church on a person ("I tell you, you are Peter"), not his confession.
Then in the very next verse, Jesus tells Peter he will give him a power that belongs only to God - "I will give you the keys of the kingdom of heaven".
All this was planned before Jesus even met Simon Peter, which explains why Jesus changed Simon's name to "rock" the very first time they met (John 1:42).
That of course is your view of what is being said, not to mention the Roman Catholic church view, but there is only one Rock and scripture says that plainly, Psalms 18:2 The LORD is my rock, my fortress, and my deliverer. My God is my rock, in whom I take refuge, my shield, and the horn of my salvation.
We can easily see who is the Rock in these verses, the name Cephas, means little rock, as Peter. Salvation is built on the Rock, Jesus and there is no other name under heaven whereby we must be saved. Jesus is the Chief cornerstone, as in a building the first stone laid set the structure of the building, and Jesus is the solid foundation. All other is sinking sand.
Ps 18:31 For who is God besides the LORD? And who is the Rock except our God?
1 Samuel 2:2 “There is none holy like the Lord; there is none besides you; there is no rock like our God.
2 Samuel 22:32 “For who is God, but the Lord? And who is a rock, except our God?
Deut 32:4 “The Rock, his work is perfect, for all his ways are justice. A God of faithfulness and without iniquity, just and upright is he.
Deut 32:31 For their rock is not as our Rock; our enemies are by themselves.
And when the Catholics speak much on this phrase about Peter, Matt 16:17 Jesus replied, “Blessed are you, Simon son of Jonah! For this was not revealed to you by flesh and blood, but by My Father in heaven. 18
And I tell you that you are Peter, and on this rock I will build My church, and the gates of Hades will not prevail against it. 19
I will give you the keys of the kingdom of heaven. Whatever you bind on earth will be bound in heaven, and whatever you loose on earth will be loosed in heaven.”…
And see also it is said about church discipline which you can read in context: Matt 18: If your brother sins against you, go and confront him privately. If he listens to you, you have won your brother over.
16 But if he will not listen, take one or two others along, so that ‘every matter may be established by the testimony of two or three witnesses.’
17If he refuses to listen to them, tell it to the church. And if he refuses to listen even to the church, regard him as you would a pagan or a tax collector.
18Truly I tell you, whatever you bind on earth will be bound in heaven, and whatever you loose on earth will be loosed in heaven. 19 I will give you the keys of the kingdom of heaven, and whatever you bind on earth shall be bound in heaven, and whatever you loose on earth shall be loosed in heaven.” 19 Again, I tell you truly that if two of you on the earth agree about anything you ask for, it will be done for you by My Father in heaven. 20 For where two or three gather together in My name, there am I with them.”
Once Peter came to see who Jesus truly was he became the little rock and knew Jesus was the true ROCK and there was no other.
John 1:40-42 One of the two who heard John speak and followed Jesus was Andrew, Simon Peter's brother. He first found his own brother Simon and said to him, “We have found the Messiah” (which means Christ). He brought him to Jesus. Jesus looked at him and said, “So you are Simon the son of John? You shall be called Cephas” (which means Peter). And that word, Peter, both mean a stone, a little rock, not the Rock on which the church is built, Jesus is the solid Rock, much more studier than any of the largest rock formations ever created on earth, they can be made to fall by an earth quake; but nothing can shake the solid Rock who is Christ, the foundation of the Church stands strong and cannot be shaken when built on His word.