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Classic example of a location theory - check this to find out more about solving this kind of problems. You could try to follow one of those algorithms or implement it i.e. in javascript and use google maps api to put it together


I don't know a way to automate this. As this is a one off I would do this. Mark the locations using Google maps Use bounds to find centre see this Answer Use Googles Direction Service to get results. Alter centre to optimise results. Repeat Steps 3 & 4 to find optimal result.

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