The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+171x^80+724x^81+949x^82+1186x^83+1074x^84+1106x^85+651x^86+658x^87+477x^88+410x^89+284x^90+204x^91+116x^92+96x^93+32x^94+32x^95+17x^96+1x^98+1x^102+2x^106

The gray image is a code over GF(2) with n=680, k=13 and d=320.
This code was found by Heurico 1.16 in 1.22 seconds.