For some reason I thought hottest exhaust temperature is what you should be tuning for. Maybe that is for economic stoich 14.7 AFR?
Sort of and not really. EGT isn't really a good target to shoot for. You have to know how a lot of other conditions correlate to a specific engine's EGT before later using EGT to deduce what is going on.
Ideally the engine would be tuned for best output first, then the EGT observed. Preferably all that can be done without knocking
and without melting the valve, head, or exhaust.
Ignition timing has a big influence on EGT too. It could be driven over 2000°F just by retarding the timing because the burn hasn't finished when the valve opens. This would also cause power to drop like a rock possibly followed by a dropped valve and cata$trophic engine failure. It's an extreme example of why max EGT shouldn't be the objective. It's more of an obstacle to overcome in reaching best output.
Conversely, advancing the timing will cause EGT to drop and power to go up because more of the burn has finished when the exhaust valve opens. That's good as long as there is adequate octane to prevent pinging. Having said that, there is a point where lots of advance will start to make power drop as the combustion pressure starts to resist the piston moving upward on compression more than it helps push down on the power stroke even if there is no pinging. That trend will continue until parts break.
Very
very generally speaking, I would expect a highly-tuned spark ignition engine to have EGTs in the 1300-1500°F range. Diesels should be below that. Turbo gas engines frequently exceed that and factory setups typically have better and more heat-resistant materials on the exhaust side.