Ady,

I let my computer run overnight, searching for lower sets than that previously mentioned. What I did was the following, for a set of 12 numbers {a, b, c, d, e, f, g, h, i, j, k, l}:

1.) Set a = 1, as any set starting with >1 can be reduced as mentioned in a previous post
2.) Set the limit I'd like to start my search at (in this case, 72)
3.) Set l = limit, this fixed our 1st and 12th values, to make the looping process less time consuming
4.) Began looping through all values for b - k, beginning at b+1, c+1, .... and ending at our set limit
5.) If a set was found, with all values less than or equal to limit, I displayed that set, and broke out of the loop, reduced limit to limit - 1, and restarted the loop