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

generates a code of length 87 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+320x^80+32x^81+638x^82+248x^83+947x^84+440x^85+1204x^86+560x^87+1256x^88+528x^89+902x^90+216x^91+586x^92+24x^93+162x^94+52x^96+24x^98+25x^100+10x^102+10x^104+4x^106+2x^108+1x^128

The gray image is a code over GF(2) with n=696, k=13 and d=320.
This code was found by Heurico 1.16 in 83.9 seconds.