I'm going to revive this topic. I don't know if anyone realized the OP has a European A body. They got slightly different TCMs. Here are the factory part numbers:
4672217 (Up To 10-2-91) EUROPE
4672319 (Aft. 10-2-91) EUROPE
Both of these part numbers superseded to part number 4796136. According to the Chrysler Flash Availability (
http://www.aa1car.co...vailability.pdf), the newest TCM for you is 4796136.
Even if you wanted to try a North American calibration, which should work I guess, you'll be looking for 4796123 or R4761848AA. The pictured of the TCM you got (R4761846AA) is for 89-91 cars.
Furthermore, if you did find the correct updated TCM, you need to remove pin 49 from the TCM connector as per FSM 18-24-95, to prevent random 3 to 4 upshifts or 4 to 3 downshifts when pressing the brake.