The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^34+478x^35+902x^36+1538x^37+1858x^38+2796x^39+2957x^40+3810x^41+3628x^42+4060x^43+3257x^44+2814x^45+1836x^46+1446x^47+656x^48+368x^49+152x^50+82x^51+29x^52+12x^53+2x^54+2x^55+6x^56+2x^57

The gray image is a code over GF(2) with n=168, k=15 and d=68.
This code was found by Heurico 1.11 in 8.38 seconds.