The generator matrix

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

generates a code of length 86 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+183x^80+832x^81+1271x^82+1832x^83+1764x^84+1978x^85+1868x^86+1606x^87+1331x^88+1314x^89+889x^90+632x^91+339x^92+298x^93+76x^94+54x^95+60x^96+22x^97+23x^98+4x^99+4x^101+1x^104+1x^106+1x^108

The gray image is a code over GF(2) with n=688, k=14 and d=320.
This code was found by Heurico 1.16 in 3.78 seconds.