Select the point in each polygon that is farthest away from all other points

Hi,

Please can you help with something I'm struggling with a bit.

I have a map of 1058 points in 7 south east London boroughs (attached).
Attachment 22573
How do I find the point in each borough that is farthest away from all other points? I'd like to do this by calculative means rather than what I think it would be visually and I want 1 point in each borough i.e. 7 points in total.

I've tried the point distance tool and started working back from the longest distance but whilst that works for some points, it forces others to be too close together. I need to find a way of balancing this out so the 7 points in the 7 boroughs are the farthest they can be from each other.

Any help would be appreciated.

Regards

Scott MacDonald

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