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

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

Homogenous weight enumerator: w(x)=1x^0+228x^34+8x^35+406x^36+76x^37+715x^38+304x^39+1065x^40+628x^41+1330x^42+648x^43+1137x^44+308x^45+625x^46+64x^47+401x^48+12x^49+155x^50+61x^52+16x^54+3x^58+1x^64

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 3.29 seconds.