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

generates a code of length 50 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+288x^96+108x^97+162x^98+444x^99+270x^100+324x^101+342x^102+108x^103+84x^105+30x^108+18x^111+6x^114+2x^135

The gray image is a code over GF(3) with n=450, k=7 and d=288.
This code was found by Heurico 1.16 in 0.052 seconds.