The generator matrix

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

generates a code of length 32 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+450x^56+576x^57+720x^58+1566x^59+3684x^60+2880x^61+4434x^62+10546x^63+8262x^64+6708x^65+10674x^66+4032x^67+2304x^68+1320x^69+144x^70+462x^71+154x^72+114x^74+18x^75

The gray image is a code over GF(3) with n=288, k=10 and d=168.
This code was found by Heurico 1.16 in 20.4 seconds.