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

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+126x^83+40x^84+480x^86+104x^87+486x^88+708x^89+78x^90+54x^92+12x^93+78x^95+4x^96+12x^98+2x^102+2x^126

The gray image is a code over GF(3) with n=396, k=7 and d=249.
This code was found by Heurico 1.16 in 0.0462 seconds.