The generator matrix

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

generates a code of length 40 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+348x^70+1224x^71+4134x^72+5616x^73+13212x^74+17316x^75+23550x^76+39894x^77+50640x^78+56124x^79+73896x^80+77144x^81+58428x^82+52800x^83+30924x^84+14322x^85+8382x^86+2694x^87+426x^88+102x^89+108x^90+90x^91+30x^92+18x^93+18x^94

The gray image is a code over GF(3) with n=360, k=12 and d=210.
This code was found by Heurico 1.16 in 259 seconds.