Update: I made five loads (68 grain to 72 grain Norma MRP) and test fired them at the range. At lower velocities, the bullets made oblique holes indicating insufficient stability.
I have not yet measured the twist rate of my rifle but from this evidence, it is probably 1 in 12 inches. At higher velocities, the holes became circular so I guess if I increase the charge the stability problem will be resolved.
The rifle did not make any meaningful groups. First I thought it has to do with bullet instability but later also shot factory loads which hit all over the target. This means something probably has gone wrong with the scope mount (?). I'll investigate.