61 13... Circular connector, 13-pin, system D2.5
WARNING: This page is about a different car, the 2019 MINI Cooper, 2018 MINI Cooper, 2017 MINI Cooper, 2016 MINI Cooper, and 2015 MINI Cooper. However, it is still accessible from the selected car via links, so may be relevant.
Special tools required:
Detach rubber grommet (1).
Carefully pull out locking mechanism (2) in arrow direction.
Shift lower section of connector (3) in arrow direction until retaining lugs (4) snap into release groove (5).
With special tool 61 0 303 , press down retaining lugs (6) of corresponding contact and pull out cable.