The generator matrix

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

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+312x^55+330x^56+1728x^57+3240x^58+4542x^59+8142x^60+11634x^61+18066x^62+21132x^63+25872x^64+30876x^65+22560x^66+15618x^67+7158x^68+3846x^69+1506x^70+222x^71+168x^72+132x^73+42x^74+12x^75+6x^76+2x^81

The gray image is a code over GF(3) with n=288, k=11 and d=165.
This code was found by Heurico 1.16 in 28.3 seconds.