Lug nut size for 2010 Polaris Ranger 800

I have a tire that is shot and need to get the damn thing off. Here is the problem the nuts are tight as hell and can’t get a socket on it. I see it needs the deep well thin well type. I see that everyone talks about 12mm size but these lugs look like they are clearly bigger like 14-16mm or corresponding SAE size. I think I need an old fashion cross wrench or something where I can tap with a maul to break free. Any idea what likely size is?

I am on own some big bucks this year baws, one will be falling soon but I need this shite fixed. Anyone know where I can