The generator matrix

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

generates a code of length 15 over Z9 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+64x^21+120x^24+98x^27+486x^28+148x^30+972x^31+120x^33+126x^36+40x^39+12x^42

The gray image is a code over GF(3) with n=45, k=7 and d=21.
This code was found by Heurico 1.16 in 0.554 seconds.