The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+222x^79+825x^80+1220x^81+1857x^82+1616x^83+2052x^84+1726x^85+1908x^86+1320x^87+1363x^88+810x^89+586x^90+340x^91+269x^92+110x^93+69x^94+38x^95+8x^96+22x^97+11x^98+9x^100+1x^102+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 4.22 seconds.