The generator matrix

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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 79.

Homogenous weight enumerator: w(x)=1x^0+206x^79+335x^80+646x^81+691x^82+1012x^83+774x^84+1020x^85+791x^86+852x^87+685x^88+684x^89+273x^90+118x^91+12x^92+42x^93+5x^94+14x^95+5x^96+4x^97+4x^99+8x^100+2x^101+2x^104+2x^105+2x^107+1x^108+1x^116

The gray image is a code over GF(2) with n=680, k=13 and d=316.
This code was found by Heurico 1.16 in 25.2 seconds.