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

generates a code of length 40 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+216x^76+72x^77+262x^78+438x^79+372x^80+246x^81+438x^82+18x^83+30x^84+6x^85+18x^86+26x^87+12x^88+6x^89+12x^91+12x^94+2x^108

The gray image is a code over GF(3) with n=360, k=7 and d=228.
This code was found by Heurico 1.16 in 1.35 seconds.