The generator matrix

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

generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+46x^40+132x^41+108x^42+44x^43+69x^44+56x^45+4x^46+5x^48+20x^49+16x^50+4x^51+6x^52+1x^60

The gray image is a linear code over GF(2) with n=172, k=9 and d=80.
This code was found by Heurico 1.16 in 0.0229 seconds.