To increase the height of your pump head you need to increase the diameter of the pumps impeller and increase the pumps power or modify the pumps system to reduce friction and other losses.
Increasing your pump's power can be done using a more powerful pump or by increasing the RPM of your current pump, "if the pump is designed for variable speed".
You can also reduce the friction losses in the pumps system by using fewer fittings and or larger pipes which can also result in an increased pump head.
Larger pipes also reduce friction and allow the pump to generate more head for a given flow rate.
And fittings in the pipe system cause friction losses, so minimizing the number of fittings can also increase the pump head.
And using a longer vertical pipe can also increase the head of the pump by allowing the pump to push water higher before it encounters resistance from the system.
And in some cases you can add a second pump above the first pump to increase the vertical lift.
Also the suction lift or how high a pump can suck water from below can also affect the head as it also adds to the total head requirement.
And understanding of the pump curve can also help you to determine the maximum head and flow rate for a given pump.
The TDH or Total dynamic head is also the total amount of resistance that the pump has to overcome, which includes vertical lift, friction losses and other factors.