In December 2010 I again visited Tarsus and got thoroughly wet. Rain all day. I saw most of the sights again, but found a small region I had not visited before, and in it St. Paul's Church. Do not for a moment think it was founded by St. Paul: this smallish church dates almost certainly from the last quarter of the 18th century.
This is on a hill at the edge of the old town, it seems there are some excavations going on. Many of those hills contain the oldest remains, I don't know about this one.