The generator matrix

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

generates a code of length 22 over Z9 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+78x^27+202x^30+382x^33+502x^36+776x^39+1014x^42+13122x^44+1146x^45+1086x^48+660x^51+446x^54+200x^57+50x^60+14x^63+4x^66

The gray image is a code over GF(3) with n=66, k=9 and d=27.
This code was found by Heurico 1.16 in 1.63 seconds.