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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+64x^80+132x^81+180x^82+96x^83+355x^84+448x^85+318x^86+96x^87+163x^88+116x^89+48x^90+8x^92+8x^93+14x^94+1x^156

The gray image is a code over GF(2) with n=680, k=11 and d=320.
This code was found by Heurico 1.16 in 0.865 seconds.