The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+81x^26+184x^27+285x^28+614x^29+883x^30+1254x^31+1736x^32+1986x^33+2243x^34+2140x^35+1725x^36+1310x^37+884x^38+488x^39+239x^40+182x^41+95x^42+28x^43+14x^44+4x^45+5x^46+2x^47+1x^50

The gray image is a code over GF(2) with n=136, k=14 and d=52.
This code was found by Heurico 1.16 in 4.75 seconds.