The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+267x^86+684x^87+918x^88+1294x^89+1623x^90+1802x^91+1999x^92+2206x^93+2232x^94+2324x^95+2394x^96+2310x^97+2440x^98+2192x^99+1937x^100+1652x^101+1311x^102+1048x^103+709x^104+558x^105+353x^106+230x^107+122x^108+70x^109+60x^110+8x^111+14x^112+6x^113+2x^116+2x^118

The gray image is a code over GF(2) with n=384, k=15 and d=172.
This code was found by Heurico 1.16 in 53.2 seconds.