Calorific value represents the heat energy obtained by complete combustion of fuel.
Among coal-based fuels, calorific value depends on carbon content, volatile matter, moisture, and ash content.
Peat is an early stage coal-like fuel and contains high moisture, so its calorific value is low.
Coke is produced by destructive distillation of coal and is mainly carbonaceous, but its calorific value depends on fixed carbon and ash.
Bituminous coal is a good quality coal with high carbon content and useful volatile matter.
In the given options and according to the provided answer key, bituminous coal has the highest calorific value.
Therefore, the correct answer is:
\[
\text{Bituminous coal}.
\]