How to make a full Wheatstone bridge with 4 tee-rosette strain gauges?
Taken from Sparkfun and added annotations

Note how gauges in the diagram with the same direction of stress are DIAGONAL to each other on the bridge so their effect is additive. Otherwise they would cancel each other out. This might not be the same as being physically diagonal on the mechanical mounting.

Therefore group all elements sharing an axis into two equal groups connected in series within the group. That makes two tangential and two axial groups. Place in bridge appropriately with like diagonal to like, and opposite above and below each other.

I believe best results are obtained when the elements in a single group are mounted far from one another at the expense of messier wiring.

I am unsure if radial expansion strain and axial compression strain are equal and opposite (as it is for tension and compression in bending) but they have to be for what I said to work.