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

generates a code of length 50 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+286x^96+416x^99+972x^100+396x^102+52x^105+58x^108+4x^114+2x^144

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 1.36 seconds.