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

generates a code of length 84 over Z8 who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+112x^82+54x^84+64x^86+5x^88+16x^90+1x^92+1x^96+1x^104+1x^108

The gray image is a code over GF(2) with n=336, k=8 and d=164.
This code was found by Heurico 1.16 in 0.335 seconds.