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

generates a code of length 54 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+164x^105+18x^106+36x^107+342x^108+36x^109+18x^110+54x^111+56x^114+2x^132+2x^135

The gray image is a code over GF(3) with n=486, k=6 and d=315.
This code was found by Heurico 1.16 in 0.06 seconds.