The generator matrix

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

generates a code of length 34 over Z8 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+37x^26+8x^27+217x^28+88x^29+266x^30+328x^31+345x^32+600x^33+318x^34+600x^35+406x^36+328x^37+216x^38+88x^39+156x^40+8x^41+53x^42+25x^44+6x^46+2x^48

The gray image is a code over GF(2) with n=136, k=12 and d=52.
This code was found by Heurico 1.16 in 0.413 seconds.