The generator matrix

 1  0  0  1  1  1  0  1  1  1 X^2+X  1 X^2  0  X  1  X  1  1  0  1  1  1  X  1  0  1  1  1  X X^2+X X^2+X  X  1  1  1  1 X^2+X X^2  1  1 X^2  X
 0  1  0  0  1  1  1 X^2 X^2+X+1 X+1  1  X  1  1  0 X^2+X  X X^2+1  X  1  1  X X^2+X+1  1 X+1  1  1 X+1 X^2  1  0  X X^2 X^2+X+1 X^2 X^2+X+1  0  1  1  X X^2  1 X^2+X
 0  0  1 X+1 X^2+X+1  0 X+1  X X^2+X X^2+X+1 X^2+X+1 X^2+1  1 X^2+X  1 X^2+X  1 X^2+1 X+1 X^2+X X^2+X  X X+1  0  0 X^2+X+1  1  1 X^2+1 X^2+X  1  1  1 X^2+X X^2+X+1 X^2 X^2+X X^2+X+1  1 X^2+X X+1 X^2  X
 0  0  0 X^2  0  0  0 X^2 X^2 X^2  0  0 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  0 X^2  0  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2
 0  0  0  0 X^2  0 X^2  0  0  0  0  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0
 0  0  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0  0  0 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2  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+419x^38+825x^40+927x^42+817x^44+609x^46+364x^48+85x^50+35x^52+8x^54+6x^56

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 26.3 seconds.