The generator matrix

 1  0  1  1  1  6  1  1  4  1  2  1  1  1  4  1  1  6  1  1  1  6  2  1  1  1  4  1  1  4  1  1  1  6  1  0  1  1  1  1  4  1
 0  1  1  0  3  1  2  3  1  6  1  5  7  0  1  5  4  1  3  6  1  1  1  6  7  5  1  7  4  1  6  5  7  1  1  1  4  0  5  2  1  0
 0  0  2  0  6  0  0  2  4  0  4  2  0  2  2  0  2  6  4  6  4  6  0  6  4  0  0  4  6  6  2  6  0  4  2  0  2  2  6  6  0  0
 0  0  0  2  0  0  2  2  6  4  2  2  2  6  0  4  4  6  4  2  6  2  2  4  0  4  4  2  0  6  6  0  0  4  0  0  4  2  6  6  2  0
 0  0  0  0  4  0  0  0  0  0  0  4  4  0  0  0  4  4  0  0  4  4  4  0  4  4  0  4  4  0  0  4  4  0  0  4  4  4  4  4  0  0
 0  0  0  0  0  4  0  0  0  4  0  4  0  4  4  4  0  0  4  0  4  4  4  4  4  4  0  0  4  4  0  0  0  4  4  4  0  0  4  4  4  0
 0  0  0  0  0  0  4  0  0  0  4  0  0  0  4  4  4  4  0  4  0  0  4  0  0  4  4  4  0  4  0  4  4  4  0  4  0  0  4  0  0  0

generates a code of length 42 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+57x^34+92x^35+195x^36+346x^37+531x^38+612x^39+768x^40+1028x^41+1033x^42+1006x^43+752x^44+596x^45+492x^46+298x^47+187x^48+68x^49+53x^50+38x^51+13x^52+10x^53+9x^54+2x^55+4x^56+1x^58

The gray image is a code over GF(2) with n=168, k=13 and d=68.
This code was found by Heurico 1.16 in 1.61 seconds.