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

generates a code of length 46 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+174x^88+282x^89+356x^90+120x^91+264x^92+496x^93+126x^94+252x^95+12x^96+18x^97+6x^98+12x^99+24x^100+6x^101+12x^102+18x^103+6x^106+2x^120

The gray image is a code over GF(3) with n=414, k=7 and d=264.
This code was found by Heurico 1.16 in 39.7 seconds.