2Ti 4:21 Do thy diligence to come before winter. Eubulus greeteth thee, and Pudens, and Linus, and Claudia, and all the brethren.
I found your guy Linus, but no “office of the episcopate”. So you are telling us the 12 Apostles handed over the keys of the kingdom of heaven to this obscure person mentioned only once in the Bible to be the second Bishop of Rome? Really? Linus & Lucy and Charlie Brown are having a good laugh! I know I am!
It's not my guy Linus, it's Irenaeus' guy Linus, that he recorded in "Against Heresies." I am not advocating for the papacy, I'm pointing out that an early church father apparently did not regard Peter as the first Pope.