The generator matrix

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

generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+189x^36+480x^37+884x^38+928x^39+1472x^40+1524x^41+1812x^42+1816x^43+1910x^44+1544x^45+1424x^46+976x^47+730x^48+324x^49+212x^50+88x^51+45x^52+20x^54+4x^56+1x^64

The gray image is a linear code over GF(2) with n=172, k=14 and d=72.
This code was found by Heurico 1.13 in 2.28 seconds.