The generator matrix

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

generates a code of length 96 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+483x^88+792x^89+2170x^90+2736x^91+4419x^92+5152x^93+6996x^94+6848x^95+7273x^96+6792x^97+6696x^98+5004x^99+4159x^100+2324x^101+1782x^102+808x^103+468x^104+232x^105+230x^106+28x^107+77x^108+4x^109+36x^110+14x^112+8x^114+1x^116+2x^118+1x^120

The gray image is a code over GF(2) with n=768, k=16 and d=352.
This code was found by Heurico 1.16 in 78.3 seconds.