The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  1  1  1
 0  1  1  8  7  0  8  1  3  3  7  4  3  0
 0  0  6  0  3  3  6  6  3  6  0  6  0  0

generates a code of length 14 over Z9 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+18x^24+24x^25+30x^26+56x^27+12x^28+12x^29+54x^30+12x^31+12x^32+6x^34+6x^36

The gray image is a code over GF(3) with n=42, k=5 and d=24.
This code was found by Heurico 1.16 in 0.000654 seconds.