The generator matrix

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

generates a code of length 51 over Z9[X]/(X^2+6,3X) 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.