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

generates a code of length 51 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+494x^96+162x^98+518x^99+486x^100+648x^101+1902x^102+972x^103+648x^104+340x^105+130x^108+150x^111+82x^114+24x^117+2x^123+2x^144

The gray image is a code over GF(3) with n=459, k=8 and d=288.
This code was found by Heurico 1.16 in 61.8 seconds.