The generator matrix

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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+82x^81+320x^82+172x^83+440x^84+166x^85+340x^86+142x^87+227x^88+54x^89+76x^90+22x^91+1x^92+1x^96+2x^105+1x^112+1x^124

The gray image is a code over GF(2) with n=680, k=11 and d=324.
This code was found by Heurico 1.16 in 0.696 seconds.