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  X 2X  0 X+3 2X  6 X+3 2X+6  6 X+6 2X+6  6  0 X+6  X 2X 2X+6  3 X+3 2X+3  3
 0  0  6  6  3  3  3  6  0  6  0  6  0  3  6  3  0  3  0  0  6  6

generates a code of length 22 over Z9[X]/(X^2+3,3X) who�s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+60x^42+36x^43+540x^44+56x^45+18x^46+16x^48+2x^66

The gray image is a code over GF(3) with n=198, k=6 and d=126.
This code was found by Heurico 1.16 in 0.00342 seconds.