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

generates a code of length 55 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 111.

Homogenous weight enumerator: w(x)=1x^0+72x^111+6x^114+2x^117

The gray image is a code over GF(3) with n=495, k=4 and d=333.
This code was found by Heurico 1.16 in 0.0462 seconds.