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

generates a code of length 54 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+378x^105+1590x^108+54x^111+162x^114+2x^162

The gray image is a code over GF(3) with n=486, k=7 and d=315.
This code was found by Heurico 1.16 in 16.1 seconds.