3,280lbs for a mark 14 (according to
www.navweaps.com), so 24 of them would be just shy of 39.5 tons. So the overall weight doesn't seem much for a 1450-1570 ton submarine (heck, the complete fore and aft batteries weighed in at some 210 tons total).
As far as the weight of one, and having to heave one into position using tackle and pulley and muscle alone - yeah, that's dang heavy. But one or 24, the crew had to manhandle them each one at a time.
You need to tour a surviving fleet boat - go into the fore or aft torpedo room and try and imagine it during a reload - it's wild. The space just seems impossibly small.
Or then, tour the USS Texas and imagine having to man-handle 14 inch shells (about 1400lbs apiece) around (they would spray the magazine floors with fine oil, and use floor mounted capstans and rope to pull the shells around). Or imagine the engine gang doing an overhaul on a reciprocating steam engines with connecting rods the diameter of large tree trunks.
Men were men back then, I tells ya' -

None of this sissy-boy power tools stuff then.