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

generates a code of length 65 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+124x^58+84x^59+461x^60+296x^61+826x^62+652x^63+1225x^64+1056x^65+1186x^66+588x^67+739x^68+296x^69+367x^70+84x^71+105x^72+16x^73+43x^74+18x^76+11x^78+8x^80+3x^82+2x^84+1x^96

The gray image is a code over GF(2) with n=520, k=13 and d=232.
This code was found by Heurico 1.16 in 1.68 seconds.