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

generates a code of length 85 over Z8 who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+36x^84+64x^85+12x^86+9x^88+4x^94+1x^96+1x^120

The gray image is a code over GF(2) with n=340, k=7 and d=168.
This code was found by Heurico 1.16 in 0.275 seconds.