The generator matrix

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

generates a code of length 35 over Z8 who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+72x^34+38x^36+12x^38+1x^40+4x^42

The gray image is a code over GF(2) with n=140, k=7 and d=68.
This code was found by Heurico 1.16 in 0.0113 seconds.