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

generates a code of length 44 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+162x^81+96x^82+132x^83+418x^84+294x^85+936x^86+684x^87+762x^88+1728x^89+578x^90+198x^91+60x^92+172x^93+48x^94+18x^95+132x^96+48x^97+36x^98+30x^99+12x^100+6x^101+8x^102+2x^120

The gray image is a code over GF(3) with n=396, k=8 and d=243.
This code was found by Heurico 1.16 in 0.171 seconds.