The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  X  0  X  1  0
 0  X  0  X  0  0 X^2+X X^2+X  0  0  X X^2+X  0  0 X^2+X X^2+X X^2  X  0  X X^2  X X^2 X^2+X X^2  0  X  X X^2 X^2+X  0 X^2+X  X X^2 X^2+X X^2 X^2  0 X^2  X X^2+X X^2  0
 0  0  X  X  0 X^2+X X^2+X  0  0 X^2+X  X  0  0  X X^2+X  0  X X^2 X^2  X  0 X^2+X  X X^2  X X^2  0  X  X X^2 X^2 X^2+X X^2+X  0  X X^2  0  X  X X^2 X^2 X^2+X  X
 0  0  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0
 0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2  0  0 X^2 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  0 X^2  0 X^2 X^2  0 X^2 X^2  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+116x^40+64x^41+128x^43+89x^44+64x^45+43x^48+6x^52+1x^76

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 46.2 seconds.