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

generates a code of length 43 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+186x^82+300x^83+102x^84+408x^85+438x^86+120x^87+324x^88+186x^89+2x^90+6x^91+30x^92+16x^93+30x^94+18x^95+6x^97+12x^100+2x^111

The gray image is a code over GF(3) with n=387, k=7 and d=246.
This code was found by Heurico 1.16 in 0.0866 seconds.