61 13... Circular connector, 7-pin, 8-pin, system D2.5
WARNING: This page is about a different car, the 2013 BMW Z4, 2012 BMW Z4, 2011 BMW Z4, 2010 BMW Z4, and 2009 BMW Z4. However, it is still accessible from the selected car via links, so may be relevant.
Carefully pull off rubber grommet (1).
Carefully press back retaining lugs (2) of internal connector (3).
Slide internal connector (3) in direction of arrow until retaining lugs (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.