OK, here's a very crude drawing, approximately in the perspective of your photo, and not quite to scale. It's one possibility, not necessarily the best possibility. The layout is governed by a couple principles: (a) keeping the 3" drains near the bottom of the picture where the outside 4" sewer is lowest and (b) keeping the "pit" for the tub trap away from the corner were the 12" x 12" wide footings intersect. Those are not necessarily the best tradeoffs. Some details:
- Black is the footprint of framed 2x4 walls, including the wall finish
- Blue are the bathroom fixtures. I suggest leaving 16" to 17" on either side of the WC, rather than the minimum 15".
- Red is 3" pipe, just the WC drain and the 3" vent through the roof (VTR)
- Green is 1.5" pipe, just the lav trap arm and separate tub vent.
- Orange is the tub drain, which could be 1.5", but as it's under the slab, I think a 2" trap and 2" tub drain would be better.
Negatives of this layout are all related to the tub:
- The orange tub drain runs the long diagonal across the room.
- The orange tub drain is supposed to connect downstream of the WC vent (and lav drain, making the bottom of the 3" vent a wet vent), which could be tricky to have enough space for the fittings. Actually if the tub drain is 2" and the tub vent is increased to 2", it can connect upstream of the 3" vent; the WC is then wet vented by the tub.
- The need for a separate tub vent, which either goes through the roof, or runs around 2+ sides of the room to reconnect to the 3" vent. The latter would not really be too much trouble for a 1.5" vent, and would even be OK for a 2" vent but more annoying.
Possible alternatives:
If principle (b) is not required, then you could flip the tub to have the drain and tub pit near the corner. The shower head is normally above the drain, and it would be nicer to have it on the unobstructed side of the tub rather than by the lav, so that would be a negative. But now the tub drain run is a bit more direct (although it might still jog away from the right wall to avoid the thickened slab edge, then jog back at the WC drain location), and it would be easier to reconnect the tub vent to the other vent. Or it may be possible to bring the lav drain into the slab and wet vent the tub, eliminating the separate tub dry vent (like my drawing in post 18).
You could also consider rotating the WC to face the tub, along with flopping the vanity to beon the 5' wall at the bottom of the picture. That makes for a small vanity (unless you also widen the room to more than 5'), but you could probably reduce the length of the room to under 8'. Then your vents could be in the interior wall rather than in the furred out (doubled) exterior wall. The tub would still need a separate vent but it would only have to run through 1.5 walls to get back to the lav vent (although over the door opening).
Anyway, some ideas to chew on, if you like one of the alternatives better, or some other layout (please specify with a dimensioned floor plan, rather than the weird perspective drawing on top of picture I provided), I'm happy to do one more drawing.
Cheers, Wayne