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

generates a code of length 88 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+180x^80+300x^81+518x^82+852x^83+1004x^84+1276x^85+1568x^86+1776x^87+1877x^88+1732x^89+1528x^90+1120x^91+847x^92+708x^93+322x^94+304x^95+181x^96+80x^97+102x^98+44x^99+22x^100+18x^102+13x^104+8x^106+2x^108+1x^124

The gray image is a code over GF(2) with n=704, k=14 and d=320.
This code was found by Heurico 1.16 in 8.57 seconds.