The generator matrix

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

generates a code of length 44 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+486x^82+402x^83+1994x^84+2100x^85+1158x^86+2974x^87+2562x^88+1158x^89+2528x^90+1896x^91+564x^92+1142x^93+552x^94+108x^95+20x^96+6x^97+6x^98+6x^100+8x^102+6x^103+6x^104

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 0.553 seconds.