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  2  2  0  4  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  4  2  2  2  0  4  3  7

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

Homogenous weight enumerator: w(x)=1x^0+52x^34+6x^36+4x^38+1x^40

The gray image is a code over GF(2) with n=136, k=6 and d=68.
This code was found by Heurico 1.16 in 0.0046 seconds.