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

generates a code of length 40 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+88x^72+150x^73+146x^75+258x^76+1104x^78+426x^79+1458x^80+2070x^81+348x^82+114x^84+156x^85+56x^87+96x^88+44x^90+24x^91+10x^93+8x^96+2x^99+2x^114

The gray image is a code over GF(3) with n=360, k=8 and d=216.
This code was found by Heurico 1.16 in 0.164 seconds.