The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+172x^34+434x^35+895x^36+1332x^37+2113x^38+2452x^39+3368x^40+3318x^41+4180x^42+3596x^43+3670x^44+2706x^45+2030x^46+1124x^47+725x^48+298x^49+200x^50+74x^51+43x^52+26x^53+9x^54+2x^56

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 25 seconds.