St. John was the first to reach the sepulchre, but St. Peter the first to enter it. John 20:4:⁠—

“So they ran both together; and the other disciple did outrun Peter, and came first to the sepulchre. And he, stooping down, and looking in, saw the linen clothes lying; yet went he not in. Then cometh Simon Peter following him, and went into the sepulchre, and seeth the linen clothes lie.”

“So they ran both together; and the other disciple did outrun Peter, and came first to the sepulchre. And he, stooping down, and looking in, saw the linen clothes lying; yet went he not in. Then cometh Simon Peter following him, and went into the sepulchre, and seeth the linen clothes lie.”