The generator matrix

 1  1  1  1  1  1  1  1  1  1  2  0  1  1  2  1  1  1  2  1  0  0  2  0  1  2  0  4  1  1  4  1  1  1
 0  2  0  6  0  6  0  6  0  6  6  2  4  6  6  0  6  0  6  4  2  2  6  2  0  6  2  4  6  6  0  6  0  0
 0  0  4  0  0  0  0  0  0  0  0  0  0  0  0  4  0  4  0  4  4  4  4  4  4  0  4  0  4  0  4  0  4  0
 0  0  0  4  0  0  0  0  0  0  4  4  0  4  4  0  4  0  4  0  0  0  0  0  4  4  4  4  0  0  4  4  0  0
 0  0  0  0  4  0  0  0  0  0  4  4  4  4  0  0  0  4  0  4  4  4  0  0  0  4  0  4  4  4  4  4  4  0
 0  0  0  0  0  4  0  0  0  4  0  4  0  4  0  0  4  4  4  4  0  4  4  0  0  0  4  0  0  0  0  4  0  0
 0  0  0  0  0  0  4  0  0  0  0  4  4  4  4  4  4  4  0  0  0  4  4  0  0  0  0  0  4  0  4  0  0  0
 0  0  0  0  0  0  0  4  0  4  4  0  0  4  0  4  0  0  4  4  0  0  4  4  0  4  0  0  4  4  4  4  4  0
 0  0  0  0  0  0  0  0  4  0  4  0  4  0  4  4  4  0  0  4  0  4  0  4  4  0  0  4  4  0  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+25x^24+65x^26+24x^27+155x^28+72x^29+272x^30+408x^31+329x^32+520x^33+376x^34+520x^35+335x^36+408x^37+236x^38+72x^39+149x^40+24x^41+61x^42+29x^44+12x^46+2x^50+1x^52

The gray image is a code over GF(2) with n=136, k=12 and d=48.
This code was found by Heurico 1.16 in 0.404 seconds.