1 Corinthians 3:11 is a text that rebuts the Catholic position by presenting Christ as the central figure and not Peter himself. The apostle is a part of the church's foundation, in the same way as the other apostles and the prophets. He does not have a position of supremacy over the other apostles.
If the church was built on the Apostle Peter, then how come he never made such a statement about himself in Scripture? This is ironic, since the primary passage of Scripture cited for papal supremacy is Matthew 16:18.
The Apostle Peter refers to the Lord Jesus Christ as being the chief cornerstone, and all believers without distinction as "living stones" (1 Peter 2:5). He describes the Christian church without qualification as a "royal priesthood." Thus, Peter clearly knew nothing about a distinction between clergy and laity.
He knew nothing about a papal office which would by its very nature distinguish him from the rest of Christendom. The role of this apostle has been exaggerated by the Church of Rome so as to bolster its claims to having infallible teaching authority.