The generator matrix

 1  0  0  1  1  1  1  1  1  1  6  1  1  1
 0  1  0  6  1  7  8  0  2  6  1  4  1  4
 0  0  1  7  1  6  2  8  6  4  7  0  4  7

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

Homogenous weight enumerator: w(x)=1x^0+72x^24+114x^25+78x^26+62x^27+114x^28+60x^29+58x^30+78x^31+24x^32+48x^33+18x^34+2x^39

The gray image is a code over GF(3) with n=42, k=6 and d=24.
This code was found by Heurico 1.16 in 0.00213 seconds.