The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^24+134x^26+8x^27+400x^28+88x^29+672x^30+328x^31+1131x^32+600x^33+1256x^34+600x^35+1256x^36+328x^37+636x^38+88x^39+380x^40+8x^41+114x^42+68x^44+4x^46+12x^48+4x^52

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 1.58 seconds.