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

generates a code of length 43 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+126x^81+438x^84+972x^86+474x^87+76x^90+84x^93+12x^96+2x^99+2x^126

The gray image is a code over GF(3) with n=387, k=7 and d=243.
This code was found by Heurico 1.16 in 0.044 seconds.