The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+294x^88+500x^89+1042x^90+1392x^91+2052x^92+2448x^93+3546x^94+3404x^95+3973x^96+3280x^97+3226x^98+2680x^99+2023x^100+1116x^101+738x^102+348x^103+288x^104+132x^105+118x^106+48x^107+46x^108+12x^109+26x^110+20x^112+6x^114+6x^116+2x^118+1x^132

The gray image is a code over GF(2) with n=768, k=15 and d=352.
This code was found by Heurico 1.16 in 74.6 seconds.