Looking at the GA drawing in "British Steam Tugs", which scales correctly for length and beam (from its printed scale - the original at 1/4" would be better), 18'6 would be too large to fit in the paddleboxes. The wheels are drawn with an overall diameter of 16' with the floats pivoting on a pitch circle diameter of about 13'3.
Odd to find such a difference - I wonder if "mean diameter" in this case refers to some calculation of the wheels effectiveness, perhaps a comparison to a standard with fixed floats?