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  2  2  1  2  1  1  2  1  1  2  1  1  1  1  1  2  1  1  1  1  2  1  1  1  2  2  1  2  1  2  1  1  1  1  1  2  1  1  4  1  1  2  2  1  2  4  1  1  1  2  2  2  1
 0  4  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  4  4  4  0  0  0  4  4  4  0  4  4  0  0  4  0  0  4  4  0  4  4  4  4  0  0  0  4  4  4  0  4  4  4  4  0  0  0  0  0  4  4  0  0  0  0  0  4  4  0  0  4  4  4  0  4  4  4  4  4  0  0  0  0  4  4  0  0  4  4  0  4  0  0  0  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  4  0  0  4  4  4  4  4  4  0  0  0  0  0  0  0  0  4  0  4  4  4  4  4  4  4  0  4  0  0  4  0  4  4  0  0  0  0  4  4  0  0  0  0  0  4  4  0  0  4  4  4  4  4  4  0  4  0  0  4  4  4  0  0  0  4  4  0  4  4  4  0  4  0  4  4  0  0  0  0  0  0  0  0
 0  0  0  4  0  0  0  0  0  0  0  0  4  4  4  4  4  0  4  4  4  4  0  0  4  4  4  4  4  4  0  4  0  4  4  0  4  0  0  0  0  0  0  0  0  0  0  4  4  0  0  4  4  4  4  4  0  4  0  0  0  0  4  4  0  4  0  0  0  4  4  4  0  4  4  0  4  4  0  0  4  0  4  0  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  4  4  0  4  4  4  0  4  0  4  0  4  0  0  4  0  4  0  0  0  0  0  4  4  0  0  4  0  0  0  4  4  4  4  4  4  0  4  4  4  0  0  4  0  0  0  4  0  0  0  4  0  4  4  0  0  4  0  0  4  4  0  4  0  0  4  4  4  4  0  0  0  4  0  4  0  4  0  0  4  4  4  4
 0  0  0  0  0  4  0  0  0  0  0  4  0  0  4  4  4  4  4  0  0  4  4  0  0  0  4  0  0  0  4  4  0  4  4  0  4  4  4  4  0  4  0  0  4  0  0  4  0  4  0  0  4  0  0  4  0  0  4  4  0  0  0  4  4  0  4  0  4  0  4  0  4  0  0  4  4  0  0  0  4  0  0  4  0  0  0  4  4  0  0  4  4  4  0  4
 0  0  0  0  0  0  4  0  0  0  4  0  0  0  4  4  0  0  4  0  0  4  4  0  4  4  4  0  4  4  4  0  0  0  0  4  4  0  4  0  4  0  0  4  4  4  0  0  4  4  4  0  0  4  0  0  4  0  0  4  0  0  0  0  4  0  4  4  4  0  4  0  0  0  4  4  0  4  0  0  4  4  4  0  0  4  0  0  4  0  4  0  4  4  0  0
 0  0  0  0  0  0  0  4  0  0  4  0  0  4  0  0  4  0  0  4  0  4  4  4  0  4  0  4  4  4  0  4  4  0  4  0  0  4  0  4  4  0  0  4  4  0  4  4  0  4  4  4  0  0  4  0  4  4  0  0  0  4  4  0  0  0  0  0  4  0  4  0  4  0  4  0  4  0  4  4  4  0  0  4  0  0  4  4  4  0  4  4  0  4  0  4
 0  0  0  0  0  0  0  0  4  0  4  4  4  4  0  0  0  0  4  0  0  0  0  4  4  0  0  4  4  0  4  0  4  0  0  4  0  0  4  4  4  0  0  4  0  4  0  0  0  0  4  0  4  4  0  0  0  4  4  4  0  4  4  0  0  4  0  4  4  0  4  4  4  0  0  4  0  0  4  4  0  0  4  4  4  4  0  0  4  4  4  0  0  4  0  4
 0  0  0  0  0  0  0  0  0  4  4  4  4  0  0  4  4  4  4  4  0  4  4  4  4  0  4  0  4  4  4  0  4  0  4  0  4  0  0  4  4  0  4  0  0  4  0  4  0  0  0  0  4  4  0  0  4  0  0  0  4  0  4  4  0  4  4  0  0  0  0  0  4  0  4  4  4  0  4  4  4  0  4  0  0  0  4  0  4  0  0  0  0  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+148x^84+10x^86+224x^88+86x^90+286x^92+680x^94+1346x^96+668x^98+230x^100+74x^102+157x^104+14x^106+76x^108+4x^110+53x^112+26x^116+10x^120+2x^124+1x^152

The gray image is a code over GF(2) with n=384, k=12 and d=168.
This code was found by Heurico 1.16 in 6.71 seconds.