The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+6x^34+42x^35+5x^36+4x^37+1x^38+2x^39+2x^40+1x^42

The gray image is a code over GF(2) with n=140, k=6 and d=68.
This code was found by Heurico 1.16 in 0.00504 seconds.