Wow, I'm impressed about your ability to find that fast a very good solution. I don't know the perfect value. But 84860km seems to be a very short distance for the 24 places.
Of course I want to try to write my own code. But it would be interesting for me which algorithm you used. Until now I did not have success with the Graph module. See Re^3: Travelling problem
Now I'll try the minimal hamilton path.
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