The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+275x^80+232x^81+442x^82+368x^83+597x^84+368x^85+600x^86+360x^87+370x^88+168x^89+194x^90+32x^91+60x^92+12x^94+8x^95+4x^96+2x^100+1x^112+1x^116+1x^128

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 0.681 seconds.