The generator matrix

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

generates a code of length 42 over Z2[X]/(X^3) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+78x^35+186x^36+434x^37+476x^38+778x^39+762x^40+1004x^41+793x^42+1086x^43+709x^44+756x^45+481x^46+338x^47+120x^48+108x^49+35x^50+20x^51+11x^52+2x^53+7x^54+4x^55+1x^56+2x^60

The gray image is a linear code over GF(2) with n=168, k=13 and d=70.
This code was found by Heurico 1.16 in 1.84 seconds.