That's the same connector as the IBM external floppy drive enclosure I think. It's a straight line-to-pin connection.. so you'll need two things:
* An extension cable to connect to the enclosure's back.
* A floppy cable with one end that connects to the floppy controller (mobo or IO card) and the other end you crimp the matching port connector to the extension cable above. Just be careful to make sure the whole setup is properly transferring all the lines without mixup or a shift.
I believe someone here on Vogons already listed the parts needed for this little project.
Turbo XT 12MHz, 8-bit VGA, Dual 360K drives
Intel 386 DX-33, Speedstar 24X, SB 1.5, 1x CD
Intel 486 DX2-66, CL5428 VLB, SBPro 2, 2x CD
Intel Pentium 90, Matrox Millenium 2, SB16, 4x CD
HP Z400, Xeon 3.46GHz, YMF-744, Voodoo3, RTX2080Ti