The generator matrix

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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+166x^85+501x^86+898x^87+1539x^88+2194x^89+2755x^90+3350x^91+3273x^92+3768x^93+3529x^94+3256x^95+2651x^96+1894x^97+1261x^98+722x^99+406x^100+198x^101+114x^102+106x^103+77x^104+60x^105+10x^106+20x^107+5x^108+8x^109+4x^110+2x^122

The gray image is a code over GF(2) with n=744, k=15 and d=340.
This code was found by Heurico 1.16 in 20.2 seconds.