The generator matrix

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

generates a code of length 34 over Z8 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+40x^24+8x^25+54x^26+60x^27+154x^28+228x^29+386x^30+612x^31+881x^32+1124x^33+1100x^34+1164x^35+824x^36+620x^37+416x^38+204x^39+132x^40+68x^41+74x^42+8x^43+14x^44+14x^46+2x^48+4x^50

The gray image is a code over GF(2) with n=136, k=13 and d=48.
This code was found by Heurico 1.16 in 1.08 seconds.