The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+35x^26+76x^27+167x^28+346x^29+332x^30+796x^31+603x^32+1400x^33+816x^34+1244x^35+617x^36+868x^37+293x^38+292x^39+135x^40+72x^41+56x^42+24x^43+12x^44+2x^45+3x^46+1x^48+1x^50

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 1.16 seconds.