I believe the following coin is very rare since it shows Tyche heading left. That's the first time I encounter such a position of the goddess. The obverse shows possibly an Emperor that I couldn't identify. Hope someone could guess. I managed to achieve several scans from different angles and resolutions. The coin weighs nearly 3 g.
Hmm. Well... I think the best you'll be able to do is to find some "could be" matches. Along those lines, Severus Alexander has a bust right /bust of Tyche left coin struck in Bostra, Arabia. Elagabalus has a bust right /bust of Tyche left bronze struck in Edessa. I didn't look through Caracalla's coins but he might have some Mesopotamian bronzes like this as well. At the moment my best guess is Elagabalus, struck in Edessa. Check Wildwinds for an example, although size isn't given.
You're right TIF , and T 7 as well. That's Elagabalus. The coin was struck in Edessa. BMC 75 - SNG Cop 214. There are also 3 other similar examples of the same sort. Thank you very much.
Maybe that is what this one is as well? Actually it looks more like this one of Severus Alexander from VCOINS. Actually these are not rare. If you plug in Tyche bust left on Vcoins you get 809 coins for sale that match. Mostly Severans.