The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  1  1  1  1  1 X^3  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  X  0  0  X  X X^2 X^2+X X^2 X^2+X X^2 X^2 X^2+X X^2+X X^3  0 X^2 X^2+X  X X^2  0  X X^2+X  0  X X^3+X^2 X^3 X^2+X X^2 X^3+X X^3+X^2+X X^3+X^2 X^3 X^3+X X^3 X^3+X^2+X X^3 X^3+X^2 X^3+X^2+X X^3+X
 0  0  X  X X^3+X^2 X^2+X X^3+X^2+X X^2 X^2 X^2+X X^3+X X^3 X^3+X^2+X X^3 X^3+X X^3+X^2  X X^3  X  X X^3+X^2 X^3+X^2 X^3+X^2+X X^2+X  0 X^2 X^3+X X^3+X^2+X  X X^2  0 X^3+X^2+X X^2 X^3+X^2 X^3  X X^3+X  X X^2  0  0 X^2

generates a code of length 42 over Z2[X]/(X^4) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+242x^40+576x^42+184x^44+20x^48+1x^80

The gray image is a linear code over GF(2) with n=336, k=10 and d=160.
This code was found by Heurico 1.16 in 13.4 seconds.