The following two images are the front and back of a coin minted between 705 and 711 AD, by the Byzantine Emperor Justinian II. On the front, a bust of Christ; in the back, Justinian II. It is unlike the Pantocrator depictions found in Byzantine basilicas.
The emperor Justinian II (669-711 AD) was an iconoclast. That is, he disallowed the use of icons in liturgy and forbade their veneration. This explains his usage of a different representation of Christ from the Pantocrator.
The following two images are the front and back of a coin minted around 945 AD. On the back, a representation of Constantine VII (905-959 AD), the Byzantine Emperor from 913 to 959; on the front is a depiction of a Christ Pantocrator.
Notice the overall similarity of the facial representation with the Shroud (I assume you have a Shroud image at your disposal. You can find good ones at www.shroud.com). It certainly is quite different from the representation on the coin of Justinian II.
You should enlarge the image, by clicking it, to see several details that are similar to the Shroud. Note the left cheek of Christ, the one that appears on our right. It shows a clear protuberance which is also on the Shroud. The beard is clearly similar to the Shroud. Note the very peculiar lock of hair on the forehead. This is very similar to the inverted '3' shape as seen on the forehead on the Shroud.
The very fact that all these details and the overall appearance is very different on the Justinian coin shows that the artist who designed the coin was using a very different model.
A large number of Byzantine art works, in particular the Pantocrator, have similarities with the Shroud.