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

generates a code of length 53 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+90x^102+198x^103+58x^105+1620x^106+44x^108+54x^109+18x^111+72x^112+30x^114+2x^159

The gray image is a code over GF(3) with n=477, k=7 and d=306.
This code was found by Heurico 1.16 in 0.183 seconds.