The generator matrix

 1  0  0  1  1  1  0 X^2  1  1 X^2  1 X^2+X  1  1  X X^2+X X^2  1  X  1  1  0  1  1  X  1  1  1  1 X^2+X  1  1  1  1 X^2 X^2  X  1  1
 0  1  0  0 X^2+1 X^2+1  1  X X^2  1  1 X^2+X  1 X+1  X  1 X^2  1 X^2  X  1  X  1 X^2+1 X^2+X  1 X^2+X+1 X+1 X^2 X^2  1 X^2  1 X^2+X+1 X^2 X^2 X^2+X  1 X^2+X  X
 0  0  1 X+1 X^2+X+1 X^2 X^2+X+1  1  X X^2+1  1  1  0 X^2  0  1  1 X^2 X+1  1 X^2+1  X  X  X  1 X+1 X^2+X X^2+X+1 X^2+1  1  1 X^2+X X^2+X X^2 X^2  1  1 X^2+X+1 X^2+X+1 X+1
 0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  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+228x^37+136x^38+244x^39+26x^40+128x^41+64x^42+56x^43+84x^45+24x^46+20x^47+5x^48+8x^49

The gray image is a linear code over GF(2) with n=160, k=10 and d=74.
This code was found by Heurico 1.16 in 15 seconds.