The generator matrix

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

generates a code of length 32 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+636x^57+546x^58+1950x^59+3680x^60+3030x^61+6612x^62+8342x^63+6186x^64+10794x^65+8336x^66+3588x^67+2946x^68+1958x^69+246x^70+48x^71+114x^72+6x^73+6x^74+16x^75+6x^76+2x^78

The gray image is a code over GF(3) with n=288, k=10 and d=171.
This code was found by Heurico 1.16 in 3.24 seconds.