The generator matrix

 1  0  0  1  1  1  0  1 X^2  1  1 X^2+X  1  X  1  1  1 X^2+X  1  X  1  0  X X^2 X^2  1  1  1  1  1  1  X  0  X  1  0 X^2  1 X^2+X  1  1  1  1
 0  1  0  0  1 X^2+1  1  X  1 X+1 X^2+X+1  0 X^2  1  1 X^2+X  1  1  X  1 X^2+X+1 X^2+X  1  1 X^2 X^2+1  X X+1 X^2  0 X^2+X+1 X^2+X X^2 X^2+X  0  1  X  1  0  X X^2 X^2  0
 0  0  1 X+1 X^2+X+1  0 X+1 X^2+1 X^2+X X^2  1  1  X  1 X^2+X X+1 X^2+1 X^2  X X+1 X^2+X+1  1 X^2+1 X^2  1 X^2+X  1  0 X^2+X  1 X^2+X  1  1  1 X^2  X  1 X^2  1  0  0  0  0
 0  0  0 X^2  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2
 0  0  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  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+46x^38+170x^39+321x^40+274x^41+190x^42+230x^43+187x^44+182x^45+141x^46+94x^47+90x^48+54x^49+37x^50+18x^51+9x^52+2x^53+1x^54+1x^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 0.126 seconds.