The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+164x^88+1022x^89+2204x^90+3402x^91+4403x^92+5444x^93+6164x^94+7064x^95+7078x^96+6626x^97+6052x^98+5060x^99+4086x^100+2980x^101+1644x^102+1132x^103+523x^104+200x^105+157x^106+68x^107+17x^108+12x^109+2x^110+8x^111+16x^112+4x^113+1x^114+2x^115

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 61.2 seconds.