The generator matrix

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

generates a code of length 40 over Z3[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+48x^75+168x^76+84x^78+90x^79+42x^81+162x^82+40x^84+30x^85+20x^87+36x^88+2x^90+2x^93+2x^96+2x^114

The gray image is a linear code over GF(3) with n=120, k=6 and d=75.
This code was found by Heurico 1.16 in 0.0156 seconds.