The generator matrix

 1  0  0  1  1  1 X^2+X  1  1  0  X  1  1  X  1  0  X  1  1  1  X  X  1  X  X  1  1 X^2+X  1 X^2  1  X X^2+X X^2  1  1  1  1  X  0  0  1  1
 0  1  0  0  1 X+1  1 X^2+X X^2+1  1  X X^2+1 X^2+X  1 X^2+X+1  1  1 X^2+X  0 X+1  1  X  0  1  1 X^2+X  X X^2  1  0 X^2  1  1 X^2 X+1  1  1 X^2+X+1 X^2  1  1  0  0
 0  0  1  1  1  0  1 X^2+1  1  1  1  0 X^2  X  1  X  1 X^2+1 X^2  X  0  1  1 X+1 X^2  X  1  1  0  1 X^2+X+1 X^2+X  X  1 X^2+X+1 X^2+X X^2+X+1 X+1  1 X^2+X+1 X^2+X+1 X^2+X+1  0
 0  0  0  X  0  0 X^2 X^2 X^2+X  X  X X^2+X  X X^2+X X^2+X X^2  X X^2  0  0 X^2+X  0  0 X^2  0 X^2+X X^2+X X^2+X X^2  0 X^2+X  X  0 X^2 X^2+X  0 X^2+X  0  X X^2  X X^2+X  0
 0  0  0  0  X X^2  X X^2+X X^2 X^2 X^2+X  X  X X^2+X X^2+X X^2+X  X  0  X X^2+X  0 X^2+X X^2  0  0  0  X X^2  X  X X^2+X  0 X^2 X^2+X X^2 X^2  X  0 X^2  0 X^2+X  0 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+73x^36+224x^37+382x^38+546x^39+728x^40+852x^41+895x^42+906x^43+877x^44+828x^45+718x^46+504x^47+281x^48+180x^49+101x^50+42x^51+24x^52+12x^53+14x^54+2x^55+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 2 seconds.