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

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

Homogenous weight enumerator: w(x)=1x^0+45x^84+64x^85+15x^88+1x^108+2x^116

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 2.14 seconds.