The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1 2X  1  1  1  0  1  1  1  1 2X  1  1 X+3  1  1  1  6  1  1  1 X+6  1  1  1 2X+6  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3
 0  1 2X+4  8 X+1 X+3 X+2  1 2X  4 2X+8  1 2X+4  0  8  1 X+3 X+1 X+2 2X  1  4 2X+8  1  6 2X+7  5  1 X+6 X+7 X+5  1 2X+6  7 2X+5  1  6 X+6 2X+7 X+7 2X+6  7  5 X+5 2X+2 X+3 X+1  6 X+6  0 X+7 2X+7 2X+4  1
 0  0  3  0  6  3  6  6  0  3  0  0  6  3  6  6  0  3  0  3  6  6  6  0  6  0  3  3  6  0  3  3  6  0  3  3  3  0  6  3  3  6  6  6  3  6  0  0  3  6  6  3  0  3

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+272x^105+606x^106+576x^108+300x^109+120x^111+228x^112+80x^114+2x^126+2x^132

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 0.384 seconds.