The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  1  1  4  2  1  1  1  2  0  2  1  0  1  1
 0  2  0  0  0  2  6  2  4  0  4  2  2  4  4  0  6  6  4  2  0  0  4  4  6  2  6  0  0  6  2  0  4  0
 0  0  2  0  2  2  2  4  6  2  4  2  6  4  6  6  4  0  4  2  4  4  2  6  6  2  4  4  4  0  6  0  2  2
 0  0  0  2  2  0  2  6  2  4  0  0  6  2  6  4  2  0  6  4  2  0  6  2  6  0  4  2  2  4  4  2  4  2
 0  0  0  0  4  0  0  0  0  0  4  0  4  4  0  4  4  4  0  4  4  0  4  4  0  4  0  0  4  4  0  0  4  4
 0  0  0  0  0  4  4  0  4  4  0  0  0  0  0  4  4  4  4  4  4  4  0  4  0  4  4  0  0  0  4  4  0  4

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

Homogenous weight enumerator: w(x)=1x^0+93x^28+8x^29+213x^30+72x^31+311x^32+176x^33+357x^34+176x^35+281x^36+72x^37+157x^38+8x^39+76x^40+35x^42+5x^44+6x^46+1x^52

The gray image is a code over GF(2) with n=136, k=11 and d=56.
This code was found by Heurico 1.16 in 0.156 seconds.