Best double circulant found so far for 58

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M M^T:

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 17 32 17 17 18 17 17 18 17 17 18 17 17 17 17 17 17 17 17 17 17 18 17 17 18 17 17 18 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17
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Determinant 33918274974238762675920543874825039 (3.39183e+34) set 1827 result 1.01615e+28
A = 14 B = 17 N = 29

 14  6  5  7  7  6  8  7  6  7  6  7  7  6  6
 17 10 11 10  9 10  9  9 10 10 10  9  9 10 10
 31 16 16 17 16 16 17 16 16 17 16 16 16 16 16