The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  3  0  0  0  0  0  0  0  0  3  3  0  3
 0  0  3  0  0  0  0  0  0  0  6  3  3  6
 0  0  0  3  0  0  0  0  0  3  6  0  6  6
 0  0  0  0  3  0  0  0  0  6  6  0  6  3
 0  0  0  0  0  3  0  0  0  6  6  3  6  0
 0  0  0  0  0  0  3  0  0  6  6  6  3  0
 0  0  0  0  0  0  0  3  0  6  3  6  0  0
 0  0  0  0  0  0  0  0  3  6  0  6  3  3

generates a code of length 14 over Z9 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+80x^12+290x^15+768x^18+1758x^21+3216x^24+4238x^27+39366x^28+4182x^30+3066x^33+1554x^36+460x^39+70x^42

The gray image is a code over GF(3) with n=42, k=10 and d=12.
This code was found by Heurico 1.16 in 1.94 seconds.