The generator matrix

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

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+42x^38+210x^39+202x^40+354x^41+196x^42+290x^43+123x^44+196x^45+99x^46+148x^47+63x^48+56x^49+30x^50+22x^51+11x^52+1x^54+2x^55+2x^57

The gray image is a linear code over GF(2) with n=172, k=11 and d=76.
This code was found by Heurico 1.11 in 0.063 seconds.