The generator matrix

 1  0  1  1  1 14  1  1  0  1  1  2 12  1  1 14  1  1  1  1 12  1  1  2  1  1  6  1  1 14  1  1  8 12  1  1  0  1  1  1  1 10  1  1  1  4  2  1  1  1  1  2  1  1  1  1  1  1  1  1  1  1  1 10  1  1  1  1  8  1  6  1 14  1  0  1  1 12  8  6  1  0  2  1  1
 0  1 11  6  5  1 11  0  1  2  9  1  1 12  5  1  2  7 12  7  1 14  9  1  8 13  1  0  5  1  6 15  1  1  6  3  1  7  9 10  2  1 12  9  4  1  1  7  5  7 11  6  9  7  1  1  7  3  9  3  9 15  7  1  2  5  3  1  1 12  1 12  1 11  1  4  9  1  1  1 15  1  0  2  5
 0  0 12  0  0  0  0  4  4 12  4  4 12  8 12 12  8  4 12  8  8  4  8  8  0  0  8 12  4 12  0 12  4  8  4  0  8  0 12  0  4  8 12  4  0  4 12  0 12  0  4  8  8 12  0  8  4  0  4  8  0 12  4  8 12  8  4  0  8  4 12  0  4  8 12  8  8  0  0 12  0 12 12  0  0
 0  0  0 12  8  4  4  4  4  8 12  8 12  8  4  0  4  8 12 12  8  0  0 12  4 12  8  0  0 12  8 12  0 12  4  8  4  0  4  0 12  0  8  8 12  8  4  4 12 12  4  4 12  4  4  4 12  0  0  0  8  0  0  8  0  8  8  0 12  4  4  8  0  4  8  0  8  8  4  8  8 12  0  4  0

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

Homogenous weight enumerator: w(x)=1x^0+157x^80+320x^81+510x^82+468x^83+465x^84+332x^85+442x^86+532x^87+400x^88+228x^89+160x^90+40x^91+23x^92+6x^94+4x^96+2x^98+2x^100+2x^104+1x^116+1x^124

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 0.696 seconds.