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

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

Homogenous weight enumerator: w(x)=1x^0+470x^80+48x^81+440x^82+288x^83+708x^84+384x^85+540x^86+224x^87+518x^88+80x^89+292x^90+68x^92+4x^94+26x^96+4x^98+1x^144

The gray image is a code over GF(2) with n=680, k=12 and d=320.
This code was found by Heurico 1.16 in 82.4 seconds.