The generator matrix

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

generates a code of length 43 over Z2[X]/(X^3) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+30x^41+63x^42+72x^43+60x^44+22x^45+1x^46+4x^47+2x^56+1x^60

The gray image is a linear code over GF(2) with n=172, k=8 and d=82.
This code was found by Heurico 1.16 in 0.0258 seconds.