The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1
 0  X 2X  0  3 X+6 X+6 2X 2X+3  3 X+3 2X+3
 0  0  3  3  6  6  3  0  6  3  0  3

generates a code of length 12 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+6x^21+90x^22+552x^24+36x^25+6x^27+36x^28+2x^36

The gray image is a code over GF(3) with n=108, k=6 and d=63.
This code was found by Heurico 1.16 in 0.000947 seconds.