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

generates a code of length 45 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+434x^81+18x^82+1250x^84+144x^85+486x^86+1834x^87+1404x^88+1944x^89+3936x^90+2520x^91+1944x^92+2064x^93+288x^94+834x^96+440x^99+122x^102+12x^105+2x^108+2x^114+2x^117+2x^120

The gray image is a code over GF(3) with n=405, k=9 and d=243.
This code was found by Heurico 1.16 in 1.38 seconds.