The first historical reference to the Shroud of Turin is ca. 1350s. And the (now-debunked) 1988 radiocarbon dating results alleged to prove that it was a forgery created in that time period.
However, there are numerous reports of Jesus’ burial shroud being venerated in various locations before the 14th century.
As an Art History major, I personally found two points of evidence to be compelling evidence that the Shroud of Turin is not a 14th c. forgery.
First, nobody can explain how the image was created, never mind how it could have been created by a 14th c. art forger.
Second, the images below appear to me to be compelling evidence that the cloth was familiar to 11th c. Byzantine artists.