The generator matrix

 1  0  0  0  1  1  1  1  2  1  1  1  2  6  2  1  0  1  1  4  6  1  0  4  1  1  1  2  2  1  1  1  0  4  0  1  1  1  1  1  1  4  1  1  2  4  2  6  0  1  2  1  1  4  1  2  1  0  6  1  1  2  6  0  1  4  6  1  2  1  1  1  1  1  6  1  0  6  2  4  1  1  0  4  4  0  1  1  1  2  1  2  1  6  0  6
 0  1  0  0  0  4  1  5  1  4  7  3  2  1  1  4  2  4  4  1  1  7  1  6  5  0  1  6  1  2  6  1  1  2  0  5  0  7  7  6  6  1  3  1  1  1  6  2  1  1  1  4  1  0  0  1  7  4  2  3  6  4  0  6  3  0  1  4  1  3  1  2  3  0  1  0  1  4  6  4  4  1  1  1  1  1  5  6  2  1  3  0  3  1  4  6
 0  0  1  0  0  5  4  1  1  1  1  6  1  0  3  6  1  0  5  7  0  4  1  1  5  5  3  6  6  2  7  6  3  1  6  1  0  6  5  1  5  1  2  4  3  2  1  1  2  3  2  6  5  0  7  4  5  1  0  0  3  1  4  1  6  1  2  2  3  7  4  5  4  3  1  7  3  2  6  1  0  0  6  0  3  6  1  6  2  6  4  1  7  1  1  2
 0  0  0  1  1  1  5  4  1  0  3  0  7  3  2  7  1  2  2  1  4  1  6  4  5  3  6  1  7  1  3  2  3  3  1  6  4  7  5  3  2  2  2  3  5  3  6  1  6  0  0  4  0  1  7  3  6  3  1  2  1  0  1  3  6  0  6  2  0  1  5  6  2  2  6  5  3  1  1  6  1  5  7  4  6  0  3  0  5  1  1  7  6  5  5  1
 0  0  0  0  2  0  0  0  0  4  0  0  0  0  0  0  0  0  4  0  4  4  4  4  4  4  4  4  0  0  4  0  4  0  2  6  6  6  6  6  6  6  2  6  6  6  6  2  6  4  6  2  2  6  4  2  2  6  4  6  6  2  2  2  6  2  2  0  2  0  6  4  4  0  0  6  6  2  0  2  4  4  0  4  6  2  2  0  6  2  6  2  6  6  6  6

generates a code of length 96 over Z8 who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+252x^87+454x^88+720x^89+828x^90+1020x^91+1044x^92+1270x^93+1150x^94+1258x^95+1002x^96+1286x^97+1103x^98+1024x^99+860x^100+782x^101+652x^102+570x^103+295x^104+338x^105+185x^106+138x^107+74x^108+30x^109+14x^110+8x^111+12x^112+4x^113+2x^114+2x^115+2x^117+2x^118+2x^120

The gray image is a code over GF(2) with n=384, k=14 and d=174.
This code was found by Heurico 1.16 in 19.2 seconds.