The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+168x^79+914x^80+1160x^81+1840x^82+1486x^83+2336x^84+1676x^85+1940x^86+1088x^87+1334x^88+946x^89+766x^90+254x^91+223x^92+112x^93+80x^94+12x^95+22x^96+10x^97+14x^98+1x^100+1x^104

The gray image is a code over GF(2) with n=680, k=14 and d=316.
This code was found by Heurico 1.16 in 3.73 seconds.