The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  0 2X  1  1  1  X  X  1 2X  1  1  1  1  1  1  1  0 2X  X  1  1  1 2X  1  1  X  1  1  1
 0  1  0  0  X 2X+1 2X+1  1 2X+2  2  2  1  0  X X+1 X+1  1  1 2X  1 2X+2 2X 2X+2 2X+1 2X+1 X+1  2  1  1  1  X X+1  0  1 X+1 2X+1  1  X X+1  2
 0  0  1  1 2X+2 2X X+2 X+1 2X+1  2  0  0  1 2X+2 2X  1 2X+2 2X+1 2X+1  2 2X+1  0  X  1  X  2 2X+2 2X+1  0  2 2X  X  0 X+2 X+1  1 2X 2X+1 2X+1 X+2
 0  0  0 2X 2X  0 2X 2X  X  X 2X 2X  X  X  X  0  0  X  0  X 2X  X  0  X 2X  0  0 2X 2X  0  0 2X 2X 2X  X  0  X  X 2X  0

generates a code of length 40 over Z3[X]/(X^2) who´s minimum homogenous weight is 73.

Homogenous weight enumerator: w(x)=1x^0+114x^73+222x^74+64x^75+228x^76+216x^77+56x^78+240x^79+186x^80+44x^81+150x^82+138x^83+52x^84+126x^85+126x^86+10x^87+84x^88+66x^89+10x^90+24x^91+18x^92+4x^93+6x^94+2x^99

The gray image is a linear code over GF(3) with n=120, k=7 and d=73.
This code was found by Heurico 1.13 in 0.0263 seconds.