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

generates a code of length 53 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 102.

Homogenous weight enumerator: w(x)=1x^0+272x^102+434x^105+972x^106+402x^108+46x^111+52x^114+6x^120+2x^153

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 2.08 seconds.