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

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+324x^105+1698x^108+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 8.36 seconds.