The generator matrix

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

generates a code of length 96 over Z8 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+50x^84+170x^85+368x^86+586x^87+795x^88+1088x^89+1421x^90+1672x^91+1962x^92+2318x^93+2288x^94+2372x^95+2613x^96+2492x^97+2505x^98+2258x^99+2047x^100+1750x^101+1184x^102+834x^103+551x^104+550x^105+341x^106+186x^107+130x^108+56x^109+70x^110+22x^111+30x^112+22x^113+13x^114+4x^115+11x^116+2x^117+2x^118+2x^119+2x^120

The gray image is a code over GF(2) with n=384, k=15 and d=168.
This code was found by Heurico 1.16 in 62.5 seconds.