St. Peter was not the direct author of any Gospel.
However, scholars think that Peter worked with Mark to produce
Mark's gospel. Mark was not an eye-witness of Jesus, whereas Peter
was.
There is a so-called "Gospel of Peter", but it's not actually by
Peter. Scholars generally agree that it was written in the 2nd half
of the 2nd century, and is therefore pseudepigraphical (bearing the
name of an author who did not actually compose the text - a fairly
common and accepted practice in those days, not necessarily an
attempt to deceive). It was rejected by the church fathers. For
further info, see Wikipedia on 'Gospel of Peter'.