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

generates a code of length 40 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+74x^75+168x^76+108x^77+122x^78+468x^79+486x^80+118x^81+468x^82+44x^84+12x^85+54x^86+34x^87+18x^88+8x^90+2x^93+2x^108

The gray image is a code over GF(3) with n=360, k=7 and d=225.
This code was found by Heurico 1.16 in 0.0369 seconds.