The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+60x^76+428x^77+687x^78+860x^79+706x^80+1104x^81+733x^82+1044x^83+766x^84+764x^85+474x^86+284x^87+110x^88+68x^89+16x^90+24x^91+16x^92+20x^93+8x^94+12x^95+4x^96+1x^102+1x^104+1x^114

The gray image is a code over GF(2) with n=656, k=13 and d=304.
This code was found by Heurico 1.16 in 1.49 seconds.