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

generates a code of length 52 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+194x^96+430x^99+932x^102+2916x^104+1518x^105+224x^108+158x^111+138x^114+36x^117+8x^120+4x^123+2x^153

The gray image is a code over GF(3) with n=468, k=8 and d=288.
This code was found by Heurico 1.16 in 0.278 seconds.