The generator matrix

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

generates a code of length 40 over Z2[X]/(X^3) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+100x^37+49x^38+128x^39+27x^40+64x^41+46x^42+60x^43+2x^44+28x^45+1x^46+4x^51+2x^56

The gray image is a linear code over GF(2) with n=160, k=9 and d=74.
This code was found by Heurico 1.16 in 0.0325 seconds.