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Here is the pinout for a 16pin Gentex mirror.
1 = Grey = not used2 = Bare = Microphone for OnStar Mirrors3 = "Passenger Air Bag on" notification4 = "Passenger Air Bag off" notification5 = auto day/night signal from LH outside mirror6 = Brown = Temp probe connection7 = Green/Black = Temp probe connection
8 = Black = Ground9 = Light Green = Reverse Dim Inhibit10 = Gray = Microphone11 = Dark Green/White = keypad signal (out)12 = Light Green = keypad +5v supply (in)13 = Yellow = +12V switched (ignition)14 = Yellow/Black = Green LED signal15 = Brown/White = Red LED signal16 = day/night signal to LH outside mirror
Your colors don't seem to match up exactly but you should be able to hook it up according to pin location.