The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+112x^28+32x^29+396x^30+160x^31+696x^32+320x^33+708x^34+320x^35+685x^36+160x^37+340x^38+32x^39+86x^40+28x^42+18x^44+1x^48+1x^52

The gray image is a code over GF(2) with n=136, k=12 and d=56.
This code was found by Heurico 1.16 in 0.415 seconds.