The generator matrix

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

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+1246x^81+1296x^82+1620x^83+5098x^84+3996x^85+4410x^86+8908x^87+5184x^88+5940x^89+9736x^90+4536x^91+2430x^92+3056x^93+1026x^94+180x^95+308x^96+76x^99+2x^117

The gray image is a code over GF(3) with n=396, k=10 and d=243.
This code was found by Heurico 1.16 in 89.3 seconds.