The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+314x^88+1070x^89+2047x^90+2870x^91+4336x^92+5708x^93+6193x^94+7262x^95+7051x^96+7102x^97+6052x^98+5330x^99+3771x^100+2724x^101+1665x^102+854x^103+531x^104+260x^105+223x^106+72x^107+44x^108+12x^109+12x^110+12x^111+13x^112+4x^113+3x^116

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 63.3 seconds.