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  X  1  1  X  1  1  X  1  1  0  X  1  1  1  1  X  1
 0  X  0  0 2X X+3 2X+3  X 2X X+3  3  0 2X  3 X+3 2X+3 2X X+3  X 2X  3 2X+6 X+6  X X+3 X+3 X+3 X+3 2X+3  3 2X+6 2X  X X+3 2X+6 2X+6  X X+6  3  3
 0  0  X 2X  0 2X+6 X+6  X 2X+6 2X+3  X 2X+6 2X  6  6  X  6 X+6 X+3 X+6  6  0  X X+6  3 2X  3 2X 2X+6 2X X+3  0  3  0 X+3  0  6 X+3 2X X+3
 0  0  0  6  0  0  3  0  0  6  3  3  3  6  3  6  0  3  0  3  3  3  3  6  6  3  0  0  6  6  6  6  3  0  0  3  6  0  0  6
 0  0  0  0  6  3  0  6  3  0  3  3  3  0  0  3  3  0  3  3  6  0  3  3  3  3  3  0  6  6  6  0  6  6  0  6  0  0  3  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+270x^71+234x^72+780x^74+572x^75+324x^76+1860x^77+1338x^78+1296x^79+5742x^80+1972x^81+1296x^82+2160x^83+644x^84+534x^86+222x^87+270x^89+86x^90+48x^92+22x^93+6x^96+2x^99+2x^102+2x^111

The gray image is a code over GF(3) with n=360, k=9 and d=213.
This code was found by Heurico 1.16 in 9.29 seconds.