The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  X  6  X  1  1  1  1  1  1
 0  X  0  0  0  6  3 X+6  X 2X+6 2X+6 X+3 2X+3 2X+6 X+3  X  0 X+6 2X+3 2X+3 X+6  6  X 2X+6  X  X 2X+6  6 2X+6  0 2X 2X
 0  0  X  0  3 X+6 X+6 2X+6 X+3  3 2X  6 X+6 X+3 2X+3 X+3 2X+3  6 2X+3  X X+6 2X+3 2X+6 2X+3  3 X+6 2X+3  3  X 2X  0 2X+3
 0  0  0  X 2X+6 2X+6 X+6 2X  6  X 2X 2X+6 2X  X  X 2X  6 X+6  X  6 X+6 X+6  6 X+6  X  6  6 2X+6 X+3 2X+3  0 2X

generates a code of length 32 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+348x^56+264x^57+54x^58+738x^59+990x^60+324x^61+2418x^62+2308x^63+3564x^64+3834x^65+2486x^66+432x^67+918x^68+324x^69+372x^71+166x^72+120x^74+20x^75+2x^84

The gray image is a code over GF(3) with n=288, k=9 and d=168.
This code was found by Heurico 1.16 in 1.89 seconds.