What is the exhaust temperature of a 1600 kW diesel generator?

Your question is too comprehensive. The exhaust gas temperature of a diesel engine is affected by many aspects including speed, load, ambient temperature and if it is water cooled, water temperature, duration of use of the injector, etc. the type of oil burned, etc. The exhaust temperature of a water-cooled land diesel engine with about 85% load is typically 300 to 360 degrees, and that of a marine engine is typically 350 to 400 degrees. The specific details also depend on the diesel engine model. In fact, it's written in the manual.