I have a piece of equipment that uses a 14-pin cable to connect the
front panel LCD to the mainboard, using a flat ribbon cable of this type:

https://media.digikey.com/Photos/Molex/0982660435.jpg

With friction-fit contacts on the end. The original has degraded over 35
years and gotten brittle and the "pins" have started to lift. However
all the 14-pin ribbon cables I can straightforwardly pull up of this
type have a very narrow pitch and overall width, and are no good for
this application it's more like something you'd use in a modern laptop.

I don't know the exact pitch for the pins on the OEM cable but the
14-pin ribbon cable itself is the better part of 2 inches wide. Anyone
still sell a cable like this?