The primary shuttle design we see used is 12 meters long, the shuttle bay carries two rows of them either side, two stacked, mirrored across the bay.
Each berth is therefore about 12.5-13 meters long shortest, with a gap across the bay of nearly twice that. The shuttlebay width at its widest (not even the widest part of the secondary hull) is around 75 meters.
Engineering looks to be much wider than that, the width where the main brewery machinary is located at the heart of the seconday hull closer to over 100 meters across.
Two shuttles parked nose to nose would be 24 meters themselves, making it 3 meters either side of them just at the widest point of the old Enterprises hull. Look at screencaps of the bay from TOS-R, park them nose to nose and there's actually not much room either side of them either in the old ship.