WOW, thats a tight squeeze!! i wouldnt've thought that would've been possible.
I occasionally transport pins in my 2000 Camry station wagon, most recently had to fit a Wms Stellar Wars in there.. a wide body game!! i didnt think THAT was going to be possible but we got it in there..lol. along with the spare tyre which i ALWAYS pull out (and the jack and wheel spanner) from its hidey hole under the rear floor if im carrying anything that big and heavy... i HATE the idea of gettin a flat tyre in the middle of nowhere with a pin in the car and not being able to get to the spare tyre. I've never needed to change a tyre whilst transporting a pin and i wont risk not being able to get at the spare