The generator matrix

 1  0  0  0  1  1  1  3  1  1  1  1  1  1  1 X+3  1  1  1  X  0  1 X+3 2X+3  1 X+3  1  1 X+3  1 2X+6  1
 0  1  0  0  3  1  7  1  X X+6 X+2  8 2X+7 2X+4 2X+8 2X 2X+2  7 X+8  1  1 X+6  1  1 2X  1 2X+3  8  X  3  1 X+1
 0  0  1  0 2X+4 2X+1 X+2 2X+4 X+1 X+5 2X+6  1 2X+2  X X+6  1 2X+8 2X+3 X+2 2X+4  7 2X+2  6  8 2X+7  5  0 2X+8  1  2 2X+3 2X+5
 0  0  0  1 2X+2  6 2X+8 2X+8  7  X X+1 X+6 2X+4  0 X+2 X+7 X+4  8  5 2X  1  2 2X+7  6 X+3 2X+2 X+1  6 X+2 2X X+5 2X+3

generates a code of length 32 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+834x^55+1368x^56+5428x^57+9702x^58+11958x^59+26618x^60+36342x^61+47190x^62+71400x^63+81036x^64+76302x^65+74528x^66+49584x^67+20910x^68+13100x^69+4158x^70+636x^71+152x^72+84x^73+72x^74+12x^75+24x^76+2x^78

The gray image is a code over GF(3) with n=288, k=12 and d=165.
This code was found by Heurico 1.16 in 195 seconds.