The generator matrix

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

generates a code of length 32 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+1002x^55+1338x^56+4988x^57+9876x^58+12204x^59+25676x^60+36996x^61+48714x^62+71170x^63+78048x^64+78972x^65+73106x^66+50154x^67+21456x^68+12248x^69+4566x^70+588x^71+136x^72+132x^73+24x^74+26x^75+18x^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 231 seconds.