The generator matrix

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

generates a code of length 85 over Z16 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+382x^82+320x^83+354x^84+154x^85+256x^86+166x^87+279x^88+42x^89+49x^90+18x^91+13x^92+4x^93+4x^94+4x^98+1x^114+1x^124

The gray image is a code over GF(2) with n=680, k=11 and d=328.
This code was found by Heurico 1.16 in 8.24 seconds.