I have just checked and my "old old" programmer is dead as well! It never rains it pours!
So, the first question I have to Josh is now you know the original EPROM may well be a triple rail 2716 - does your EPROM programmer actually support this device? If not, the EPROM may well be functional - but the fact that your EPROM programmer may not be providing the correct voltages to it may mean that it is reading as blank.
As mbasic has pointed you to a website that may host the correct firmware (bitsavers is a brilliant website to bookmark for the future) then it may still not be possible to program another EPROM which will work if you have the incorrect programmer.
If my programmer was still working I would be happy to program you a new chip - but it isn't so I can't :-( and there is no hope of a sudden repair either!
The other way would be to make up a small adapter board so that a single rail 2716/2516 can be used instead of a triple rail device. You would wire up the Vcc (+5V) and GND power pins and the address, data and control lines pin for pin between the triple and single rail devices - but would obviously leave the +12V and -5V pins of the Superbrain socket unconnected.
Good luck,
Dave