The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+212x^24+4x^25+586x^26+88x^27+1354x^28+464x^29+2526x^30+1360x^31+4592x^32+2200x^33+5800x^34+2144x^35+4858x^36+1360x^37+2640x^38+496x^39+1339x^40+68x^41+446x^42+8x^43+170x^44+34x^46+15x^48+2x^52+1x^56

The gray image is a code over GF(2) with n=136, k=15 and d=48.
This code was found by Heurico 1.16 in 22.1 seconds.