The generator matrix

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

generates a code of length 44 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+428x^81+126x^82+1026x^83+1732x^84+684x^85+1908x^86+3112x^87+1188x^88+2862x^89+3040x^90+900x^91+1458x^92+896x^93+18x^94+36x^95+164x^96+82x^99+18x^102+2x^108+2x^117

The gray image is a code over GF(3) with n=396, k=9 and d=243.
This code was found by Heurico 1.16 in 0.731 seconds.