Originally Posted by
Aaaaaaaaaaaaaaaargh!
...well technically,
as the question didn't omit breaks in service and also didn't omit entirely different airframes, that would make the Typhoon the current winner, spanning 1943 ish to the current date and beyond
I win 
I think the Nimrod (Hawker Nimrod 1932) and Nimrod MRA4 span far outclasses the Typhoon.
Aaaaaaaaaaaaaaaargh!;, you lose.