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

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+41x^40+50x^41+83x^42+44x^43+21x^44+2x^45+11x^46+1x^48+1x^54+1x^62

The gray image is a linear code over GF(2) with n=168, k=8 and d=80.
This code was found by Heurico 1.16 in 0.0239 seconds.