The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  4  1  2  2  2  0  1  2  2  2  1  1  1  2  1  4  1  4  4  2  2  2  1  1  1  2  2  2  2  1  1  2  4  0  2  2  1  1  1  1  1  1  2  1  4  2  1  1
 0  2  0  0  0  0  0  0  0  2  6  2  2  6  6  2  2  2  2  4  6  0  0  0  6  2  2  6  4  4  0  4  0  4  2  4  2  2  0  4  0  0  2  4  0  0  2  2  4  4  4  2  2  4  0  2  2  4  6  6  6  2  2  4  4  2  4  6  6  0  2  0  0  4  2  2  0  6  0  6  0  2  6  2  2  0  0  0  2  6  0  2  2  2  6  6
 0  0  2  0  0  0  2  6  2  0  0  4  2  2  2  6  0  4  4  0  2  0  4  6  6  6  6  4  2  0  6  6  4  4  6  2  6  6  2  6  0  0  0  2  4  0  0  0  2  6  6  2  2  4  0  4  2  2  4  6  2  6  4  2  4  2  2  2  0  4  0  4  6  2  2  0  6  0  6  6  0  2  4  2  6  4  2  6  6  6  0  2  6  0  2  0
 0  0  0  2  0  2  2  6  0  2  2  0  4  4  6  6  6  0  6  2  6  4  0  6  6  4  0  4  6  6  0  0  0  2  2  2  4  0  6  0  4  6  6  0  2  4  4  4  6  6  6  6  4  2  4  2  2  6  4  0  4  0  0  0  6  4  0  0  0  6  4  4  0  4  0  6  2  0  4  6  4  2  0  6  0  2  0  2  4  2  2  2  0  6  4  2
 0  0  0  0  2  2  0  6  2  4  6  6  4  2  4  2  0  0  6  2  4  0  6  0  6  2  0  2  2  6  4  2  2  4  2  0  4  6  2  6  2  4  2  4  4  4  2  2  0  2  4  2  0  4  0  0  4  2  0  2  4  6  0  6  6  0  6  2  0  0  0  0  0  0  4  6  2  6  0  2  2  4  0  0  6  4  2  0  6  2  6  4  0  6  4  6
 0  0  0  0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  4  4  4  4  4  4  4  0  0  4  4  4  4  4  4  0  4  0  0  4  4  4  4  0  4  4  0  0  4  0  4  4  4  4  4  0  4  4  4  0  0  0  4  4  4  4  0  4  0  4  0  4  0  4  4  0  4  4  4  4
 0  0  0  0  0  0  4  0  4  4  0  4  4  4  0  0  4  0  0  4  0  4  4  0  0  4  4  4  4  0  4  0  4  4  0  4  4  0  0  4  0  0  4  4  4  0  4  0  4  4  0  0  4  0  4  0  4  4  0  0  0  0  4  4  4  0  4  4  0  0  0  0  4  0  0  0  4  0  0  4  4  0  0  4  0  4  4  0  4  4  4  4  4  4  4  4
 0  0  0  0  0  0  0  4  4  0  4  4  4  4  0  0  4  4  0  0  4  0  0  0  4  0  0  0  4  0  0  4  4  0  0  0  4  0  0  0  4  4  0  4  4  0  0  4  4  0  4  4  0  4  4  0  0  4  4  0  0  4  4  4  0  4  4  4  4  4  0  4  0  4  0  0  4  0  0  4  4  4  0  4  4  4  0  4  4  4  4  0  4  0  0  0

generates a code of length 96 over Z8 who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+62x^83+149x^84+182x^85+259x^86+330x^87+458x^88+548x^89+660x^90+788x^91+854x^92+1038x^93+1136x^94+1180x^95+1280x^96+1248x^97+1089x^98+1026x^99+862x^100+790x^101+626x^102+366x^103+347x^104+284x^105+246x^106+164x^107+104x^108+114x^109+64x^110+44x^111+33x^112+16x^113+13x^114+8x^115+5x^116+4x^117+3x^118+2x^124+1x^136

The gray image is a code over GF(2) with n=384, k=14 and d=166.
This code was found by Heurico 1.16 in 28.3 seconds.