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

generates a code of length 32 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+174x^61+48x^63+306x^64+24x^66+162x^67+4x^69+6x^70+2x^72+2x^78

The gray image is a code over GF(3) with n=288, k=6 and d=183.
This code was found by Heurico 1.16 in 0.0468 seconds.