The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+185x^24+8x^25+602x^26+88x^27+1332x^28+464x^29+2624x^30+1328x^31+4594x^32+2208x^33+5756x^34+2208x^35+4712x^36+1328x^37+2824x^38+464x^39+1269x^40+88x^41+442x^42+8x^43+180x^44+40x^46+13x^48+2x^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 seconds.