Jesus Founded Catholicism

Channel Operator: I've always had doubt about what Jesus addressed when he said "and upon this rock I will build my church, and the gates of hell shall prevail against it." The video uses Matthew 16:18 to insinuate that the Church was built on Peter, but I believe Jesus was referring to what Peter had voiced in Mathew 16:16. "Thou art the Christ, the Son of the living God."

____ KJV Matthew 16:15-18 _______________________
15 He saith unto them, But whom say ye that I am?
16 And Simon Peter answered and said, Thou art the Christ, the Son of the living God.
17 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.
18 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.

It would be nice to get some feedback about my doubt in the comments - Thanks.