The generator matrix

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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 78.

Homogenous weight enumerator: w(x)=1x^0+70x^78+414x^79+846x^80+1068x^81+1531x^82+1518x^83+2096x^84+1852x^85+1957x^86+1504x^87+1322x^88+816x^89+576x^90+342x^91+144x^92+108x^93+92x^94+46x^95+46x^96+12x^97+12x^98+8x^100+1x^106+1x^110+1x^112

The gray image is a code over GF(2) with n=680, k=14 and d=312.
This code was found by Heurico 1.16 in 4.53 seconds.