The generator matrix

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

generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+38x^38+230x^39+200x^40+330x^41+190x^42+282x^43+143x^44+208x^45+105x^46+142x^47+53x^48+62x^49+30x^50+18x^51+3x^52+8x^53+3x^54+2x^58

The gray image is a linear code over GF(2) with n=172, k=11 and d=76.
This code was found by Heurico 1.16 in 0.125 seconds.