The generator matrix

 1  0  0  1  1  1  1  1  1  3  1  1 X+3  1  6  1  1  1  1  1 2X+6  0  X  1  1  1  1 2X  1  1  X  1 2X  3  1  1  1  1  1  1  1  1  1  1
 0  1  0  3 X+3 2X+4 2X+1 2X+2 2X+5  1 X+4  2  1  6  1  X 2X+7 2X+8 X+2 X+6  1 2X  1 X+6  1 2X  7  1  8 X+8  1  5  1  1 X+7  6 2X X+4 2X+2 2X+7 X+1 2X+5  8  X
 0  0  1 2X+4 2X+2 2X+5 2X+1  6  7  7 X+3 X+2 2X+2  X  X X+5 X+1 X+7  3 2X+7  8  1  7  4 X+3  8 X+8 X+8  7  5 2X+6  5 2X+1 2X+7 2X+1  1 2X+5  6  X  8  1 X+5 X+1  X

generates a code of length 44 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+546x^82+408x^83+1704x^84+2184x^85+1590x^86+2742x^87+2382x^88+1686x^89+1970x^90+1770x^91+822x^92+1080x^93+702x^94+18x^95+30x^96+18x^97+12x^98+6x^99+12x^100

The gray image is a code over GF(3) with n=396, k=9 and d=246.
This code was found by Heurico 1.16 in 0.457 seconds.