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  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  4  1  1  2  1  2  2  1  1  4  2
 0 12  0  0  0  4 12  4  8 12  0 12  0  8  4  4  8  0  4  0 12  4  8  4 12 12  0  0  8  4  8 12  4  8 12 12  8 12  8  8 12  8  8  8  4 12  0  4 12  0 12  8 12  4  0 12 12  4  4  8  8  0  0  0  8  8 12  8  8 12  8  8 12 12  0  8  0  8 12  8  0  4  4  4  4  8
 0  0 12  0  4  4 12  0  0  8  8  8  4  4  4 12  0 12  8 12 12 12  0  0 12  0 12  8  0  8  4 12 12 12  4  0  8  0  8 12  0  8  8 12  4 12  4  0  4  4  0  4  4  0  4  4  4  8  0  8  8  0  4  0 12  4  8  4  8  8  8  4  8  0  8  8  8  0  4  0 12 12  8  4  8  8
 0  0  0 12  4  0 12  4  4  8  0  4  4  0  8  4  4 12  4  8  8 12  8  8  0  8 12 12  0  4  8  4  8  8  4 12  0  0  4 12 12  0  4  0  4  0 12  0  8 12  8 12 12  8  8  8 12 12 12 12  8  0  8  4 12  4 12 12 12  0  8  4  8  4  0 12 12 12  4  8  0  0  0  8 12 12
 0  0  0  0  8  0  8  8  8  8  8  0  0  8  8  0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  0  8  8  0  8  0  8  8  8  0  8  0  0  8  0  0  0  8  8  8  0  8  0  0  0  0  0  8  0  0  8  8  8  0  0  8  8  8  0  8  8  0  8  0  0  0  8  8  8  8  8  0  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+33x^80+54x^81+51x^82+82x^83+166x^84+414x^85+534x^86+344x^87+159x^88+66x^89+39x^90+34x^91+24x^92+26x^93+16x^94+4x^95+1x^160

The gray image is a code over GF(2) with n=688, k=11 and d=320.
This code was found by Heurico 1.16 in 0.722 seconds.