The generator matrix

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

generates a code of length 82 over Z16 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+408x^79+278x^80+316x^81+174x^82+298x^83+156x^84+296x^85+57x^86+34x^87+4x^88+16x^89+8x^91+1x^116+1x^122

The gray image is a code over GF(2) with n=656, k=11 and d=316.
This code was found by Heurico 1.16 in 62.7 seconds.