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

generates a code of length 56 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+14x^108+54x^110+34x^111+486x^112+108x^113+18x^114+12x^117+2x^165

The gray image is a code over GF(3) with n=504, k=6 and d=324.
This code was found by Heurico 1.16 in 0.0532 seconds.