The generator matrix

 1  0  1  1  1  1  1  1  3  1  1  0  1  1  1  1  3  X 2X  1  1  1  1  1  1  1  1 X+3 2X+6 2X+6  1  1  1  X  1  1  1  1 2X+6 2X+3  1 X+3  1  1  1  1  1  1  1  1  1
 0  1  1  8  3  2  0 2X+1  1  7  8  1 X+1  3 X+2 2X+8  1  1  1 2X+3 X+2  1 2X+2  7 X+5 2X+2  X  1  1  1 2X+4 X+4 2X+4  1 2X  X X+3 2X+8  1  1 X+4  1  4 2X+7  2 2X+2 2X+3 2X+6 2X+6 2X+4 2X
 0  0 2X  6 X+6 X+3 2X+6  X  X 2X+3 2X+6 2X+6  6  3 2X+6  0  6  X 2X+3 X+6  6 X+3 X+6  3 X+3 2X+3 2X+6 2X+6 X+6  0 2X+3  X  6  6 2X+3  X  0 2X 2X X+3 2X  3  0 X+3 X+6  3 2X  3  X 2X+6  6

generates a code of length 51 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 97.

Homogenous weight enumerator: w(x)=1x^0+252x^97+678x^98+546x^99+888x^100+870x^101+636x^102+558x^103+606x^104+474x^105+552x^106+420x^107+36x^108+6x^113+6x^114+6x^115+2x^117+12x^118+12x^119

The gray image is a code over GF(3) with n=459, k=8 and d=291.
This code was found by Heurico 1.16 in 0.125 seconds.