Changing the pump to a 6m head one will only make the by-pass opening worse however you my need a higher head pump to over come the resistants of the micro bore system, so what is to be done.
First thing to understand is why we need a by-pass in the first place.
The main reason (& in this case) is to maintain a minimum flow rate through the boiler at all times, this allows the boiler controls to adjust the burn of fuel to try to achieve a 20deg C difference between the flow & returning water. The system is pressure dynamic, that is to say zone & TRV valves are opening & closing all the time so the work the pump has to do keeps changing. With all the valves open the pump needs move a lot of water (heat) but with only enough force to overcome the resistance in the whole circuit. As the valves close the flow rate around the circuits will decrease but the pressure generated by the pump will rise (they are directly related, see pump graphs).
You have fixed speed pump installed so the pressure will climb, this rise in pressure was used to open a auto by-pass valve at the point were the minimum flow rate required by the boiler manufacturers was not going to be achieved. This sudden opening between the flow & return should send hot water straight back to the boiler raising the return temperature which would cause the boiler to turn off on the boiler stat.
What are the options then?