The generator matrix

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

generates a code of length 21 over Z9 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+154x^27+274x^30+412x^33+748x^36+936x^39+4374x^40+1242x^42+8748x^43+1224x^45+816x^48+438x^51+220x^54+80x^57+14x^60+2x^63

The gray image is a code over GF(3) with n=63, k=9 and d=27.
This code was found by Heurico 1.16 in 1.75 seconds.