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Constantine's Mother St. Helena
Constantinople was founded by the Roman Emperor Constantine, beginning around 324 AD. In 325 AD Constantine sent his mother, Helena to Jerusalem where she found and returned with many relics, including the true cross, some nails and a tunic which was sent to Trier, and is still there.
Though several other relics are mentioned in these accounts, the shroud of Turin is not one of them.
I note your question.
Constantine's Mother St. Helena
Constantinople was founded by the Roman Emperor Constantine, beginning around 324 AD. In 325 AD Constantine sent his mother, Helena to Jerusalem where she found and returned with many relics, including the true cross, some nails and a tunic which was sent to Trier, and is still there.
Though several other relics are mentioned in these accounts, the shroud of Turin is not one of them.
There was no Constantinople until 330 AD.
from Goddard Flight Ctr: The Shroud, Lynn noted, has had along and fascinating, if often unsubstantiated, history. British historian Ian Wilson traced the shroud to Odessa, a city in Asia-minor, during the time of Constantine in the early 300s A.D. The shroud was,at that time, called the Cloth of Odessa.
It is conjected that Constantine took the cloth, which was supposed to have the image of Christs face upon it, to Con-stantinople. It is also interesting to note,according to Wilson, the likeness between the face on the shroud and the many Byzantine paintings of the face of Christ.References to the shroud stopped inof Turinthe early 1300s, about the time when Constantinople was sacked by the Crusaders. Evidently, according to Wilson, it is possible that the Crusaders brought theshroud back to France. It was first traced to Paris and later Lirey in 1355.