The generator matrix

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

generates a code of length 44 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 83.

Homogenous weight enumerator: w(x)=1x^0+210x^83+392x^84+738x^85+1224x^86+516x^87+792x^88+684x^89+384x^90+738x^91+600x^92+222x^93+12x^95+14x^99+18x^101+10x^102+6x^104

The gray image is a code over GF(3) with n=396, k=8 and d=249.
This code was found by Heurico 1.16 in 0.0987 seconds.