1,4,6,10,11,12,18,23,24,25

This solution received December 18th, 1996 from Jose C. Cabezas Soto.

Or...

15-14-25-20-22-16-8-3-2-1

This solution received January 9th, 1997 from Jose M. Lopez Martinez (Chema).

Or...

15,18,5,10,14,2,6,23,22,21

This solution came to me June 6, 1997 from:
Brian Davis.