The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+166x^28+32x^29+256x^30+160x^31+807x^32+320x^33+640x^34+320x^35+792x^36+160x^37+256x^38+32x^39+128x^40+18x^44+8x^48

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 80.1 seconds.