The generator matrix

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

generates a code of length 42 over Z2[X]/(X^4) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+156x^35+761x^36+2768x^37+5423x^38+9798x^39+14986x^40+19570x^41+23055x^42+20956x^43+15456x^44+9672x^45+5001x^46+2262x^47+755x^48+302x^49+85x^50+44x^51+7x^52+4x^53+4x^54+2x^56+4x^57

The gray image is a linear code over GF(2) with n=336, k=17 and d=140.
This code was found by Heurico 1.16 in 77.8 seconds.