The generator matrix

 1  0  0  1  1  1  2  1  1  1  1  0  0  4  1  0  1  1  1  2  6  1  4  1  2  2  1  1  0  1  4  2  1  1
 0  1  0  1  0  1  1  0  2  5  7  1  1  0  5  1  3  2  0  2  1  6  1  1  1  0  7  1  0  6  1  1  4  0
 0  0  1  1  1  0  1  2  3  2  3  0  3  1  5  4  5  1  5  1  0  5  1  0  5  1  0  7  1  6  3  6  2  0
 0  0  0  2  0  0  0  6  2  4  0  0  6  2  0  6  2  4  6  2  2  6  4  2  0  0  0  4  0  2  2  4  6  0
 0  0  0  0  2  0  0  4  2  6  2  6  4  0  2  2  6  2  0  2  4  0  2  0  4  6  0  0  6  6  6  2  2  0
 0  0  0  0  0  2  0  0  6  0  4  2  6  4  6  6  4  2  6  4  0  0  6  4  2  0  4  6  4  4  2  4  4  0
 0  0  0  0  0  0  4  0  0  0  4  4  4  4  4  0  0  0  0  4  4  0  0  0  4  4  4  4  0  4  0  0  4  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+130x^25+268x^26+726x^27+1012x^28+2300x^29+3031x^30+5724x^31+6161x^32+9298x^33+7667x^34+9808x^35+6149x^36+5914x^37+3009x^38+2232x^39+1045x^40+572x^41+221x^42+130x^43+51x^44+26x^45+12x^46+4x^47+5x^48

The gray image is a code over GF(2) with n=136, k=16 and d=48.
This code was found by Heurico 1.16 in 52.2 seconds.