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

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

Homogenous weight enumerator: w(x)=1x^0+65x^80+198x^81+319x^82+334x^83+500x^84+444x^85+648x^86+346x^87+418x^88+274x^89+226x^90+94x^91+60x^92+80x^93+38x^94+6x^95+25x^96+12x^97+4x^99+2x^100+1x^104+1x^138

The gray image is a code over GF(2) with n=688, k=12 and d=320.
This code was found by Heurico 1.16 in 0.977 seconds.