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

generates a code of length 45 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+80x^87+150x^88+276x^90+132x^91+6x^93+42x^94+36x^96+4x^105+2x^108

The gray image is a code over GF(3) with n=405, k=6 and d=261.
This code was found by Heurico 1.16 in 0.0317 seconds.