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

generates a code of length 45 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+216x^86+250x^87+162x^88+354x^89+414x^90+138x^91+342x^92+198x^93+12x^95+14x^96+18x^97+24x^98+12x^99+6x^100+18x^101+6x^104+2x^117

The gray image is a code over GF(3) with n=405, k=7 and d=258.
This code was found by Heurico 1.16 in 8.27 seconds.