Wrong! The focus of these verses is Jesus, not Peter:
15 He saith unto them {the Apostles}, But whom say ye that I am?
16 And Simon Peter answered and said, Thou art the Christ, the Son of the living God.
In the next verse, the focus shifts on to two things: firstly, to Peter; and secondly, to the fact that his testimony had come from God, not from man:
17 And Jesus answered and said unto him, Blessed art thou, Simon Bar-jona: for flesh and blood hath not revealed it unto thee, but my Father which is in heaven.
Not so. In verse 18 the focus is the fact that Peter’s testimony came from God (the Holy Ghost) and not from man. The rock is a play on words:
18 And I say also unto thee, That thou art Peter, and upon this rock {i.e. the rock of testimony of the Holy Ghost, which Peter embodied} I will build my church; and the gates of hell shall not prevail against it.
Jesus did not build His church on a mortal man. If the church was built on the rock of Peter, then when Peter died he should have taken the church with him; because he wasn’t around any more on earth for the church on earth to “built” on him. What Jesus was saying that He would build His church on the testimony of the Holy Ghost which Peter exemplified. That is the correct reading of that scripture.
zerinus