The generator matrix

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

generates a code of length 42 over Z2[X]/(X^3) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+14x^40+56x^41+13x^42+32x^43+1x^48+8x^49+2x^50+1x^58

The gray image is a linear code over GF(2) with n=168, k=7 and d=80.
This code was found by Heurico 1.16 in 0.0222 seconds.