The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+45x^26+144x^27+385x^28+502x^29+987x^30+1188x^31+1900x^32+1722x^33+2561x^34+1784x^35+2003x^36+1226x^37+929x^38+452x^39+299x^40+134x^41+78x^42+16x^43+16x^44+8x^46+4x^48

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 3.81 seconds.