The generator matrix

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

generates a code of length 42 over Z2[X]/(X^3) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+222x^36+448x^37+644x^38+632x^39+915x^40+856x^41+900x^42+812x^43+871x^44+728x^45+504x^46+280x^47+196x^48+80x^49+76x^50+4x^51+19x^52+4x^54

The gray image is a linear code over GF(2) with n=168, k=13 and d=72.
This code was found by Heurico 1.11 in 0.609 seconds.