The generator matrix

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

generates a code of length 40 over Z3[X]/(X^2) who´s minimum homogenous weight is 74.

Homogenous weight enumerator: w(x)=1x^0+318x^74+222x^75+348x^77+154x^78+246x^80+144x^81+270x^83+92x^84+150x^86+78x^87+96x^89+24x^90+24x^92+10x^93+6x^95+2x^96+2x^99

The gray image is a linear code over GF(3) with n=120, k=7 and d=74.
This code was found by Heurico 1.16 in 59.7 seconds.