Your coin is not related to any Konstantin. It is a provincial from Pergamum. https://rpc.ashmus.ox.ac.uk/coins/1/2373 And it is very common.
The inscription on the obverse that looks like the name "Constantine" is actually ΘƐΟΝ ϹΥΝΚΛΗΤΟΝ = Theon Synkleton = "Divine Senate." * Specifically, the ЄΟΝϹΥΝ looks like a bit like "CΟΝSTΝ" on yours * trans. thanks to Yoshua Tree (but edited)