The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+135x^26+8x^27+382x^28+64x^29+680x^30+296x^31+1178x^32+640x^33+1446x^34+664x^35+1140x^36+320x^37+680x^38+56x^39+330x^40+123x^42+38x^44+8x^46+3x^48

The gray image is a code over GF(2) with n=136, k=13 and d=52.
This code was found by Heurico 1.16 in 2.01 seconds.