The generator matrix

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

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+87x^36+232x^37+420x^38+522x^39+674x^40+850x^41+881x^42+950x^43+874x^44+840x^45+697x^46+458x^47+319x^48+172x^49+109x^50+50x^51+27x^52+16x^53+3x^54+4x^55+2x^56+2x^57+2x^58

The gray image is a linear code over GF(2) with n=172, k=13 and d=72.
This code was found by Heurico 1.16 in 1.96 seconds.