The generator matrix

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

generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 39.

Homogenous weight enumerator: w(x)=1x^0+80x^39+182x^40+132x^41+96x^42+132x^43+126x^44+88x^45+32x^46+40x^47+63x^48+36x^49+4x^51+2x^52+10x^56

The gray image is a linear code over GF(2) with n=172, k=10 and d=78.
This code was found by Heurico 1.16 in 5.57 seconds.