The generator matrix

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

generates a code of length 40 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 71.

Homogenous weight enumerator: w(x)=1x^0+582x^71+1126x^72+1782x^73+5334x^74+6526x^75+7578x^76+14706x^77+13860x^78+18018x^79+28932x^80+20472x^81+19170x^82+20022x^83+10006x^84+4464x^85+2952x^86+1134x^87+18x^88+294x^89+64x^90+78x^92+28x^93

The gray image is a code over GF(3) with n=360, k=11 and d=213.
This code was found by Heurico 1.16 in 34.9 seconds.