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

generates a code of length 51 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 98.

Homogenous weight enumerator: w(x)=1x^0+180x^98+102x^99+216x^100+228x^101+716x^102+432x^103+138x^104+36x^105+54x^107+32x^108+42x^110+2x^111+6x^113+2x^147

The gray image is a code over GF(3) with n=459, k=7 and d=294.
This code was found by Heurico 1.16 in 0.0753 seconds.