The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+319x^58+160x^59+1598x^60+736x^61+2481x^62+1760x^63+2834x^64+1440x^65+2275x^66+896x^67+1191x^68+128x^69+373x^70+118x^72+48x^74+15x^76+6x^78+2x^80+2x^82+1x^88

The gray image is a code over GF(2) with n=512, k=14 and d=232.
This code was found by Heurico 1.16 in 4.78 seconds.