The generator matrix

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

generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+65x^32+76x^33+167x^34+184x^35+336x^36+362x^37+626x^38+904x^39+1145x^40+1604x^41+1736x^42+1908x^43+1753x^44+1616x^45+1216x^46+948x^47+628x^48+368x^49+291x^50+132x^51+140x^52+70x^53+54x^54+20x^55+25x^56+6x^58+2x^60+1x^76

The gray image is a linear code over GF(2) with n=172, k=14 and d=64.
This code was found by Heurico 1.16 in 11 seconds.