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Well this was harder than I first thought as the 6 finds have to satisfy all three criteria simultaneously which requires permutation evaluation. Fortunately SeekerSupreme has written an impressive script that can evaluate NxN permutations, but not in one day so I have ported his script across to a new script that can check this challenge. If I find other similar challenges I might continue working on the script to make it more generic as it is currently only usable for this specific combination of attributes in one day.
Please give it a try at http://project-gc.com/Challenges/GC3DM37/16617 and select this answer if you are happy!