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

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

Homogenous weight enumerator: w(x)=1x^0+109x^84+212x^86+420x^88+84x^89+524x^90+144x^91+681x^92+352x^93+770x^94+432x^95+852x^96+456x^97+750x^98+368x^99+729x^100+128x^101+328x^102+80x^103+371x^104+4x^105+184x^106+110x^108+34x^110+31x^112+14x^114+16x^116+3x^120+3x^124+1x^128+1x^144

The gray image is a code over GF(2) with n=384, k=13 and d=168.
This code was found by Heurico 1.16 in 8.14 seconds.