The generator matrix

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

generates a code of length 42 over Z2[X]/(X^3) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+67x^34+86x^35+279x^36+270x^37+678x^38+532x^39+915x^40+652x^41+1239x^42+690x^43+995x^44+516x^45+617x^46+202x^47+204x^48+92x^49+82x^50+24x^51+34x^52+6x^53+5x^54+2x^55+4x^56

The gray image is a linear code over GF(2) with n=168, k=13 and d=68.
This code was found by Heurico 1.16 in 2.36 seconds.