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

generates a code of length 45 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+444x^81+36x^83+1218x^84+54x^85+648x^86+1686x^87+1458x^88+2538x^89+2852x^90+2754x^91+2556x^92+1884x^93+108x^94+54x^95+792x^96+400x^99+192x^102+6x^105+2x^117

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 1.66 seconds.