The generator matrix

 1  0  1  1  4  1 10  1  1  1  1  6 10  1  1  1  1  4  1  1 10  1  1  0  1  1  1  1  1  1  8  8  1  2  1  1  6  1  1  2  1  1  2  0  1  1  1  1  1  1  1  2  1  4 14  1 10  0  2  4  2  1  1
 0  1  1  6  1  7  1  4 15  2  5  1  1  8  3 14 13  1 10  9  1  0 15  1 14  2  4  8 13  2  1  1  9  1 11  4  1  7  8 14  9  9  1  1 12  7  3 11 11 11  7  0 10  1  1 11  1  1  4  2  0  4  2
 0  0  2  0 10  2  6 10  8 10  8  0 10 14  6 14  6  6  0  8  0  0  8  0 12 12  4 12 12 14 10  4  2  4 14  6  2 12 10  2  4 14  6 14  6 10  4  4  8  0 14 14  4  0 12  2  8  4 14  2 10  2 14
 0  0  0  8  0  8  8  8  8  0  0  8  8  8  8  0  0  0  0  8  0  8  0  8  0  8  0  8  8  8  8  8  8  0  0  8  0  0  8  0  0  8  0  8  0  0  8  0  8  0  8  8  0  8  0  0  8  0  0  8  8  0  0

generates a code of length 63 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+274x^59+551x^60+594x^61+545x^62+544x^63+393x^64+414x^65+349x^66+188x^67+109x^68+60x^69+32x^70+26x^71+1x^72+4x^73+1x^74+8x^75+1x^78+1x^80

The gray image is a code over GF(2) with n=504, k=12 and d=236.
This code was found by Heurico 1.16 in 0.405 seconds.