The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  4  1  4  2  1  2  1  0  1  1  0  1  8  1  1  2  1  1  1  2  1  2  1  2  1  2  1  1  2  2  1  1  1 12  1 12  1  2
 0  2  0  2  0  8  2 10  8  2 12 14  0 10  4  6  4  6  4 14 12  2  6  0  0 12  2  2  2  2  6 12  2  2  0  0  4  8  2 14 10 14  4 10 14 10 12  8  2 10  6  0  2  4 10 10  8  0  2  2  4  2  8  2
 0  0  2  2 12 14  6 12  0  2 10 12  4 14 14  8  4 10 10  4  4  8  6  6 10  2 12 14 14 10 10 10  0  0 12  6  2  8  8  2  2  6  4  8  8  0 10 10  6 10  6 14  6 12  6  0  2 10 10 10  8 14  0  6
 0  0  0  4  0  0 12  8  4  8 12 12 12  8  4 12  8  4  8  0 12 12  0  8  4  0  8 12  4  8  0  0 12  0  0  4 12 12 12  4 12 12 12  0  8  0 12  4  4  8  8  0  0  8  4  4  4  8  0  4  4  0  8  4
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  0  8  0  0  8  0  8  8  8  0  0  0  0  8  0  0  8  8  0  0  8  0  8  0  0  0  0  8  0  0  8  8  0  0  8  8  0  8  8  0  0  0  8  0  0  8  8  8

generates a code of length 64 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+229x^58+276x^59+597x^60+596x^61+964x^62+936x^63+1264x^64+1004x^65+813x^66+492x^67+379x^68+180x^69+211x^70+88x^71+113x^72+12x^73+18x^74+11x^76+5x^78+2x^80+1x^92

The gray image is a code over GF(2) with n=512, k=13 and d=232.
This code was found by Heurico 1.16 in 3.81 seconds.