The generator matrix

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

generates a code of length 34 over Z8 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+203x^28+284x^29+508x^30+664x^31+872x^32+1092x^33+952x^34+1136x^35+886x^36+644x^37+480x^38+248x^39+134x^40+28x^41+40x^42+15x^44+4x^46+1x^48

The gray image is a code over GF(2) with n=136, k=13 and d=56.
This code was found by Heurico 1.16 in 1.37 seconds.