I noticed you have posted in the UK & Ireland section, but you say you don't mind which airport.
Does it have to be a UK & Ireland airport? - Do note that convention differs a lot around the world - and airport to airport. In the UK it is very rare for flights to go from the same gates, the airports are just too busy, that it becomes very random.
There will be certain gate groups used recurrently, but not specific gates.
The situation in many big airports in the USA is different I believe, with specific flights usually going from the same gates.
If you don't need UK or Ireland date, I'd encourage you to look for data sets that may be available in the USA. Far more likely to find a data set that is (1) available, and (2) has some consistency in it.
A UK dataset would give you nothing.
Also, regardless of where it is, keep in mind airport configuration, some gates will be domestic, some international, some may do both. And some gates will accept only smaller aircraft, some small and large.
This will impose constraints.
No idea what your research is though.