The generator matrix

 1  0  0  0  1  1  1  1 X^2  1 X^2+X  X  1 X^2  1  1  X  1 X^2  1  1  0  1 X^2+X  1  1  1  1  0  1  1  1 X^2+X  0  0  1  X  1 X^2  1 X^2  0
 0  1  0  0  0 X^2  1 X^2+1  1 X^2+X+1 X^2  1  0  1 X^2+1 X^2  1 X^2+1  X  X X^2+X  1 X+1 X^2+X  1 X+1 X^2 X^2  1 X+1 X^2+X X^2+X  0  1  1 X+1  1 X^2  1 X^2+X+1  1  1
 0  0  1  0  0 X^2+1  1 X^2+X X+1 X^2+1  1 X^2 X^2+X+1 X^2+1  X  X X^2+X+1  0  1  0 X^2+1 X^2+X+1 X^2+X+1 X^2+X X^2+X+1 X^2  1  0 X^2+X  0 X^2 X^2+X  1 X^2+X X^2 X^2+X  1  0  0 X^2+X  1  1
 0  0  0  1  1  1 X^2 X+1 X+1 X^2+1 X^2+1 X^2+1  X  X  0 X^2+1 X+1 X^2+X X^2+1  0 X^2+1  X  X  1  1 X^2+X X^2+X  1  0 X^2+X+1  X  1 X^2 X^2+X X^2+X+1 X^2+1 X+1 X+1 X^2+X+1 X^2+X X^2+X  1
 0  0  0  0  X  0  0  0  0  X  X  X X^2+X  X  X X^2+X X^2 X^2+X  X X^2  0  X X^2 X^2+X  0  0 X^2 X^2 X^2+X  X X^2 X^2 X^2+X  0 X^2 X^2 X^2+X  0  X  X X^2+X 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+158x^35+501x^36+756x^37+1124x^38+1292x^39+1664x^40+1694x^41+2127x^42+1592x^43+1726x^44+1334x^45+1090x^46+630x^47+379x^48+162x^49+75x^50+54x^51+14x^52+6x^53+2x^55+2x^56+1x^60

The gray image is a linear code over GF(2) with n=168, k=14 and d=70.
This code was found by Heurico 1.13 in 2.23 seconds.