You are so fast! Thanks for the new program.
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So by this program you won't able to find a Hexadecaproth.

No problems, let's first see how many DodecaProths can we find. For some n's most likely we'll have to go all the way to k=1E17 or more. BTW, using your new program I confirmed those for n=49 and n=51 and now I'm trying n=56 (because we can trivially locate those for n=5255 when the guys find all OctoProths). Up to k=1000T (1E15) nothing...