I just spent the mid morning plumbing a set of '38's for the '77.
One could insert a T into the cross over bowl to bowl link, turn the T facing downward and then run a line up to the tank on the outside of the left carb, including a filter. Petcock would be best with a downward facing outlet.
If I had a spare set of the brass tube inserts to cut the bulbed ends off and felt like sacrificing about an inch off the ends of a BS34 T.......
Wound up stripping the plastic off the 34 T and using that for a single line feed from the tank and then T'ing to the two carb inlets.
The T is being fed fuel from the left arm of the T. The normal inlet side of the T feeds the left carb, down, using a length of fuel line to basically weld the T Inlet and the carb inlet together. This allows the the main fuel line from the tank to set between the top of the carb intake and the top of the carb....nice space there, keeps things tidy, doesn't interfere with the Uni pod and no problem getting the carbs back onto the engine.
The right arm of the T feeds the right carb on a bend, downward, using enough fuel line to get there.
The aftermarket petcock I'm using here allows you to feed out of the front or back and came with elbow or straight brass fittings.
I'm coming out of the back of the petcock with a straight fitting, going into my fuel filter-again with a length of fuel line long enough to basically weld the fitting to the filter, and then enough fuel line to loop down comfortably to the T.
Side cover fits fine and the fuel filter is visible.