The generator matrix

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

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+298x^38+244x^39+641x^40+192x^41+659x^42+218x^43+644x^44+164x^45+472x^46+136x^47+244x^48+40x^49+99x^50+26x^51+6x^52+4x^53+8x^54

The gray image is a linear code over GF(2) with n=172, k=12 and d=76.
This code was found by Heurico 1.16 in 1.79 seconds.