The generator matrix

 1  0  0  0  1  1  1  1 X^2  1  1  0  1 X^2+X X^2  1  1 X^2 X^2  X  1  1  1  X  1  0 X^2+X  1  1  X  1  1  0  X X^2+X  1  1 X^2+X X^2+X  1  1 X^2  X
 0  1  0  0  0  1 X^2  0 X^2 X^2+1 X+1  1 X^2+X+1  1  1  0 X^2+1  1  X  1 X^2 X^2+X+1 X+1 X^2+X  X X^2+X  1  1 X+1  X X^2+X X^2+1  1 X^2  0 X^2+X  X  1  X X^2+X+1  1  1  X
 0  0  1  0  1 X^2  0 X^2+1  1  0 X^2+X+1 X^2+X X^2+1  1 X+1  X  1  X X^2  1 X^2  X  1  1 X+1  1 X^2+X  X X+1  1 X^2+1 X^2  X  1  X X^2+X+1  0 X^2+X+1 X^2  0 X^2 X+1  1
 0  0  0  1 X^2  0  1  1 X^2+1 X^2+1  X X^2+X+1 X^2+1 X^2+X+1 X^2+X X+1 X^2+X+1 X^2  1  1  X  X  0  0 X+1 X^2+X+1 X^2+1  X X^2 X+1 X^2+X  X  1  0  1 X^2+1  0 X+1  1 X^2+X+1 X+1 X+1  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+398x^38+906x^40+830x^42+796x^44+690x^46+333x^48+122x^50+12x^52+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 1.11 in 4.31 seconds.