Carry out internal U36 socket out of case by adapter ?

I've never used one that size before, I have used smaller ones that are only about 8 pins, but it's a special socket adapter that has the connectors on top slightly offset so that each side only connects to every other wire in the ribbon, and there's usually a cap that holds the ribbon in place.

I don't remember what they are called exactly, we used to use them to connect small prototype boards.

Edit: Just found them, they're called IDC Ribbon Headers.