The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  1  1  1  1  X  X  1  1  1  X  X  X  1  X  6  6  0  X  X  X  X  X  X  1
 0  6  3  0  6  3  0  6  3  0  6  3  0  6  3  0  6  3  0  6  3  0  6  3  0  6  3  6  0  3  6  3  0  6  6  3  3  0  6  0  6  3  3  0  6  3  6  0  6  3  0  6  0  0

generates a code of length 54 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+56x^108+6x^110+6x^111+6x^113+6x^116

The gray image is a code over GF(3) with n=486, k=4 and d=324.
This code was found by Heurico 1.16 in 0.0428 seconds.