61 13... Circular connector, 13-pin, system D2.5
WARNING: This page is about a different car, the 2016 MINI Cooper Paceman, 2015 MINI Cooper Paceman, 2014 MINI Cooper Paceman, and 2013 MINI Cooper. However, it is still accessible from the selected car via links, so may be relevant.
Special tools required:
Pull off rubber grommet (1).
Carefully pull out lock (2) in direction of arrow.
Move lower section of connector (3) in direction of arrow 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.