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

generates a code of length 40 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+126x^73+180x^74+66x^75+246x^76+354x^77+1052x^78+204x^79+1434x^80+1962x^81+162x^82+294x^83+16x^84+90x^85+96x^86+58x^87+102x^88+60x^89+2x^90+36x^91+12x^92+6x^94+2x^111

The gray image is a code over GF(3) with n=360, k=8 and d=219.
This code was found by Heurico 1.16 in 0.15 seconds.