The generator matrix

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

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+192x^55+420x^56+1744x^57+3162x^58+5052x^59+7800x^60+11802x^61+17106x^62+21136x^63+28392x^64+28512x^65+22650x^66+15840x^67+7776x^68+3658x^69+1230x^70+354x^71+88x^72+126x^73+66x^74+26x^75+6x^76+6x^77+2x^78

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 28.4 seconds.