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  0  1  1 X^2  1  1 X^2  X  1  1  1  1  X  1  0  1  X  1  0  X X^2+X  1 X^2 X^2+X  0 X^2+X  X  1
 0  1  0  1 X^2 X^2+1  1  1 X^2+X X^2+1  0  1 X^2  1  0  X  X X+1  1 X^2+X X^2+X+1  1  1 X+1  X X+1 X^2  1 X^2+X  1 X^2+X  1  0  1  1  1 X^2+X  1  1  1  1  1  0
 0  0  1 X^2  1 X^2+1 X^2+1 X^2+X  1 X+1  X  X X^2+X+1 X+1  1  1  1 X+1 X+1 X^2+X+1 X^2+1 X^2+1  0  X  0 X^2 X^2+1 X^2+X  X  1 X^2+1  1 X^2+X+1 X^2+X+1 X+1  0 X+1 X^2+X  X  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+38x^40+200x^41+40x^42+32x^43+18x^44+128x^45+11x^46+5x^48+24x^49+12x^50+2x^52+1x^62

The gray image is a linear code over GF(2) with n=172, k=9 and d=80.
This code was found by Heurico 1.11 in 0.015 seconds.