I see from another post that its a Alpha CB24 which has a minimum output of 9.3kw and a max of 23.3kw.
All gas boilers fire up at ~ 60% of max output, in your case, say 14kw, the boiler should then modulate to maintain its SP temperature.
Boiler circulation flowrates are normally based on a flow/return of 20C, a 23.3kw boiler might have a flowrate of 16.7LPM, if so then the flow temperature on fire up (at 14kw) must be 48C to avoid it exceeding its SP of 60C, otherwise the boiler will trip at its SP+5C, 65C in this case, it will then run for the anticycle time with the circ pump still running and refire again. Some boilers have a adjustable anticycle time, others don't and might be ~ 3minutes or so.
So possibly a circ problem, pump etc or fouled boiler HEX, can you check the boiler flow temperature just as it refires and when of if the burner trips out, that will give you a good idea of the flowrate.
What is the boiler flowtemp SP and is there a ABV (automatic bypass valve) installed?.