Is your Church really built on Peter, a sinful man?
Or is your Church built on the foundation of apostles and prophets (e.g., their epistles and historical/revelatory writings) ... with Christ Jesus himself as the chief cornerstone?
And is your Church really a hierarchical structure which finds its base in Peter and its center in the Vatican?
Or is your Church an invisible and holy temple, being built together into a dwelling place for God by the Spirit?
Yes. Those are the words of Christ. “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.” Mat 6:18
“The New Testament contains five different metaphors for the foundation of the Church (Matt. 16:18, 1 Cor. 3:11, Eph. 2:20, 1 Pet. 2:5–6, Rev. 21:14). One metaphor that has been disputed is Jesus Christ’s calling the apostle Peter "rock": "You are Peter, and on this rock I will build my Church, and the gates of hell will not prevail against it" (Matt. 16:18).
Some have tried to argue that Jesus did not mean that his Church would be built on Peter but on something else. Some argue that in this passage there is a minor difference between the Greek term for Peter (Petros) and the term for rock (petra), yet they ignore the obvious explanation: petra, a feminine noun, has simply been modified to have a masculine ending, since one would not refer to a man (Peter) as feminine. The change in the gender is purely for stylistic reasons.
These critics also neglect the fact that Jesus spoke Aramaic, and, as John 1:42 tells us, in everyday life he actually referred to Peter as Kepha or Cephas (depending on how it is transliterated). It is that term which is then translated into Greek as petros. Thus, what Jesus actually said to Peter in Aramaic was: "You are Kepha and on this very kepha I will build my Church." http://www.catholic.com/tracts/origins-of-peter-as-pope