61 13... Circular connector, 7-pin, 8-pin, system D2.5
WARNING: This page is about a different car, the 2016 BMW Z4, 2015 BMW Z4, and 2014 BMW Z4. However, it is still accessible from the selected car via links, so may be relevant.
Special tools required:
Carefully pull off rubber grommet (1).
Carefully press back retaining tabs (2) of internal connector (3).
Slide internal connector (3) in direction of arrow until retaining tabs (2) lock into locking groove (4).
Use special tool 61 0 303 (61 1 132) to press back retaining hook (5) of corresponding contact and pull out cable with contact.