The generator matrix

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

generates a code of length 40 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+832x^72+504x^73+594x^74+3270x^75+2862x^76+2916x^77+6822x^78+6696x^79+5670x^80+10710x^81+7596x^82+3780x^83+4140x^84+1296x^85+162x^86+894x^87+256x^90+42x^93+6x^96

The gray image is a code over GF(3) with n=360, k=10 and d=216.
This code was found by Heurico 1.16 in 54.1 seconds.