So, to recap:
Problem with conveyor motor tripping overload relay after a minute.
Nameplate FLC 5.1A
Starter overload was found set at 6.5A
Measured line currents 12.5 / 7.6 / 1.5A at 218 / 240 / 230V L-N after O/L
Winding resistances L-star point all 2.99 ohms
The disparity between the line currents is much greater than that of the voltages at the starter, so I think the different voltages are more a symptom of different drop in the circuit conductors carrying different currents, and less likely to be the cause. As yet we don't have confirmation of the voltages at the motor terminals themselves so there is a possibility of a high-resistance connection between the two.
Another possibility is that the motor has a faulty winding with a few shorted turns that is too small a fraction of the winding resistance to register on the resistance test. Nonetheless, when energised with AC, the transformer action with the shorted turns causes all sorts of problems within the motor, not least lots of heat, although it doesn't run for long enough for that to become apparent.
One simple but effective test is to change the leads around in the motor terminal box to put each winding on a different supply phase. I.e. move L1 to L2, L2 to L3 and L3 to L1 to preserve the sequence. Then re-measure the line currents. If the cable with the 12.5A overcurrent is now L2, the problem is in the motor. If it's still L1, the problem is with the wiring or starter.