I know that at the moment I'm a bit obsessed with numbers with a 6 in them but, as a friend told me on Monday, 6 is a perfect number. ( a mathematical fact she assures me !)
So 60 is not so bad after all.
Six identical coins will sit around the outside of a 7th coin exactly touching one another, no gaps or overlaps.
No other number of coins will do this.
Go on try it!