The generator matrix

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

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+60x^35+176x^36+496x^37+424x^38+832x^39+635x^40+1224x^41+678x^42+1108x^43+585x^44+916x^45+358x^46+354x^47+152x^48+106x^49+42x^50+12x^51+19x^52+8x^53+2x^54+2x^55+2x^57

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 1.94 seconds.