The generator matrix

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

generates a code of length 96 over Z8 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+268x^86+658x^87+995x^88+1260x^89+1446x^90+1868x^91+2108x^92+2158x^93+2308x^94+2352x^95+2516x^96+2326x^97+2162x^98+2214x^99+1929x^100+1682x^101+1268x^102+1066x^103+810x^104+486x^105+342x^106+228x^107+175x^108+56x^109+44x^110+28x^111+10x^112+2x^114+2x^115

The gray image is a code over GF(2) with n=384, k=15 and d=172.
This code was found by Heurico 1.11 in 23.3 seconds.