The generator matrix

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

generates a code of length 16 over Z9 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+24x^21+80x^24+328x^27+428x^30+776x^33+446x^36+80x^39+8x^42+8x^45+8x^48

The gray image is a code over GF(3) with n=48, k=7 and d=21.
This code was found by Heurico 1.16 in 0.0145 seconds.