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

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

Homogenous weight enumerator: w(x)=1x^0+43x^84+10x^86+1x^88+6x^90+3x^92

The gray image is a code over GF(2) with n=336, k=6 and d=168.
This code was found by Heurico 1.16 in 0.259 seconds.