What, then, is signified by John, if not the synagogue? What by Peter, if not the Church? It should not seem strange that, according to the account, the synagogue is signified by the younger and the Church by the elder. In relation to the worship of God, although the synagogue was before the Church of the Gentiles, nevertheless in time the multitude of the Gentiles was before the synagogue. Paul bears witness to this, saying: "The spiritual is not first, but the natural, and afterward the spiritual" (1 Cor 15:46).
Therefore by the elder, Peter, the Church of the Gentiles is signified, and by the younger, John, the synagogue of the Jews. They both ran together, because from the time of their beginning even to their fall, paganism ran with the synagogue by an equal and common path, though not with an equal and common understanding.
The synagogue came first to the tomb, but did not enter. Although it received the commandments of the law and heard the prophecies concerning the Incarnation and Passion of the Lord, it did not wish to believe in the One who had died. John sees the linen bands lying there, yet does not enter. So also the synagogue, though it knew the mysteries of Holy Scripture, did not consent by faith to enter into faith in the Lord's Passion.
The One about whom it had long prophesied it saw before its eyes and rejected. It despised Him because He was man, and did not wish to believe that He is God, made mortal according to the flesh. What is this, then, if not that it ran more quickly, and yet stood idle at the tomb?