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

generates a code of length 86 over Z8 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+38x^82+68x^83+76x^84+92x^85+54x^86+32x^87+34x^88+32x^89+28x^90+28x^91+16x^92+4x^93+6x^94+2x^98+1x^128

The gray image is a code over GF(2) with n=344, k=9 and d=164.
This code was found by Heurico 1.16 in 0.313 seconds.