The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+104x^34+474x^35+936x^36+1406x^37+1992x^38+2528x^39+3270x^40+3708x^41+3712x^42+3792x^43+3434x^44+2830x^45+1976x^46+1196x^47+771x^48+362x^49+152x^50+70x^51+30x^52+12x^53+4x^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 1.16 in 18.2 seconds.