The generator matrix

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

generates a code of length 96 over Z16 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+134x^87+1016x^88+2222x^89+4284x^90+5816x^91+8321x^92+10292x^93+12906x^94+13652x^95+14783x^96+13040x^97+13352x^98+10126x^99+8358x^100+5266x^101+3352x^102+1986x^103+1084x^104+542x^105+278x^106+114x^107+81x^108+30x^109+18x^110+8x^111+4x^112+2x^114+4x^115

The gray image is a code over GF(2) with n=768, k=17 and d=348.
This code was found by Heurico 1.16 in 229 seconds.