The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  2  1  1  1  1  8  1  2  1 12  2  1  1  1  8  1  0  1  1  1  1 12  1  2  2  1 12  1  1  4  2  1  1  0  2  8  2  1  0  1  2  1  2  4  1  1  1  1  1
 0  2  0  0  8 10  6  6  8 10  0 14  0 10  2 12  4  2  4  6 10  0  6  4  4  8 14  2 14 10  0  4  6 12 12  4 14 12 10 12  6  2 12 12 10  4  4  6  4  6  2  8  2  2 12 10  8  0 10  8  0  2  2  4  2 12 10 14  4  2  0  2  4 12  0 10  6  0  8  2  6  2 14  4  0
 0  0  2  0 10 10 10  8  0 10  8  2 14  0 12 10 12 12  4 14  6 14  0 14  8 12  6 14 12  4  2 10  2  2 14 12  6 10  6  8  4  2  2  0  0  2 10  8 14  6  6  2  4  4 12 10 12  2  2  0  2 14  8 10  0  8  2 10  0 12 14 10 10 10  2  8 10  6 10 10 14  0  4  0  0
 0  0  0  2  2  8 10  2  4  4  6  6 14  6 12  4  4  2 10  8  6  4 12  2 12  2  6  8  4 14  4  6 12 12 12  6  4 10  2  8  8  8  8 10 12 10  6  6  0 12 14  6  2  0  6  2 12  0  4 14 12  4 10 10 14  2 10  0  2 12  2 12  4 14 10  4  0 14 12  6  2  2 14  6  0

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

Homogenous weight enumerator: w(x)=1x^0+62x^78+262x^79+414x^80+610x^81+674x^82+1014x^83+766x^84+1056x^85+714x^86+918x^87+488x^88+394x^89+206x^90+184x^91+146x^92+108x^93+79x^94+48x^95+21x^96+8x^97+8x^98+6x^99+4x^100+1x^126

The gray image is a code over GF(2) with n=680, k=13 and d=312.
This code was found by Heurico 1.16 in 1.79 seconds.