The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+214x^81+564x^82+812x^83+628x^84+448x^85+344x^86+340x^87+208x^88+106x^89+157x^90+104x^91+57x^92+64x^93+20x^94+24x^95+1x^96+1x^98+1x^100+2x^102

The gray image is a code over GF(2) with n=680, k=12 and d=324.
This code was found by Heurico 1.16 in 0.484 seconds.