Ephesians 2:17-22
17 And He came and preached peace to you who were far away, and peace to those who were near; 18 for through Him we both have our access in one Spirit to the Father. 19 So then you are no longer strangers and aliens, but you are fellow citizens with the saints, and are of God's household, 20 having been built upon the foundation of the apostles and prophets, Christ Jesus Himself being the corner stone, 21 in whom the whole building, being fitted together is growing into a holy temple in the Lord; 22 in whom you also are being built together into a dwelling of God in the Spirit. NAS
Peter is a rock in the foundation of the church of which Jesus is the cornerstone. Peter is not the chief rock or a person with more authority than any of the other apostles.
Jesus is the head of the Church not the Pope or any other man chosen by men.