The generator matrix

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

generates a code of length 29 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+30x^55+144x^56+12x^57+210x^58+288x^59+10x^60+30x^61+2x^63+2x^78

The gray image is a code over GF(3) with n=261, k=6 and d=165.
This code was found by Heurico 1.16 in 0.0148 seconds.