Looks like you're going to need the exhaust nut wrench, most likely scenario, is to break off the fins on the nut if you don't use the correct tool .
Even with the tool, if the nuts have never been off before and had anti-seize applied to the threads, they may have to be cut off .
A common occurrence is that the nut loosens up, then tightens up again, if you continue trying to remove the nut at that point, good chance the threads on the head 'spigot' will be removed .
You will then be sending the heads or head out for repair .