Are the holes large enough to accept a .025" square pin. If not you may be able to use a 2x8 socket
The're quoted as .025 pins but the're not and may fit. Same size as headers on Arduino.
Try some different sizes of solid wire and find one that just fits. Measure thickness.
Here is what I do. If .025" square posts will work, I solder a 2x8 male header onto LCD and then use ribbon cable with connector to wherever. I have made a small pcb to transition from 2x8 to 1x16 so I can plug display to a solderless breadboard.
If .025 does not fit try Mill-Max, for a header that will. See Mouser, etc.