JayII - At 12 kV, 10,000 kVA is around 480 amps. With a 25% safety factor, a 600 A rated switchgear breaker could operate as a generator breaker provided its short circuit interrrupting capacity is suitable. They are more economical than dedicated generator breakers.
DPC is correct, there are many, many, small and medium generators operating with distribution style breakers in service as generator breakers. For ANSI equipment, application difficulties start showing up around 3200A (75 mVA at 13.8 kV).
The generator breakers I mentioned before are usulally not considered on units less than 100 MVA.