Looks similar but not quite the same as a lynx snow bounding (double foot jump). Note the rear of the print. Back legs coming up to meet the forepaws. Used by cats out here in Colorado when they don’t want to waste energy walking through deep snow.
I was thinking a larger cat. We have a bobcat, but the gate is no where near 6 to 8 feet. I have two game cameras coming for the holidays. This critter seems to be on the larger than kitty scale.
I’m with you...it’s a large cat at full run or a coyote.