The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+276x^76+200x^77+864x^78+600x^79+752x^80+672x^81+1380x^82+816x^83+826x^84+648x^85+764x^86+120x^87+158x^88+16x^89+60x^90+25x^92+4x^94+9x^108+1x^112

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 6.8 seconds.