97-3057-1008-1 couldn't be found right now at mouser, 97-3106A-16-11P is the Amphenol connector which I take has the same geometry as the part from Keithley. Crucially however, it doesn't use copper pins. Some reported success in modifying the connector to resemble the original, but if I can get that (for a reasonable price) then I'd prefer that.
Thanks for sharing the part number though.