The generator matrix

 1  0  0  0  1  1  1  1 X^2  1  0  X  1  1 X^2 X^2+X  1  1  1  X X^2+X  X  1  X  1  0 X^2  0 X^2+X  1  1 X^2+X X^2+X  1  1  1  1  0 X^2+X  1  1  1
 0  1  0  0  0  1 X^2 X^2+1  1 X+1 X^2+X  1 X^2+1 X^2  1  0  X X^2+X X+1 X^2  X  1 X^2+X+1  1  X  1  X  0  1 X^2+X+1  1  1  1 X+1 X^2+1  X  1 X^2+X  1  X  1 X+1
 0  0  1  0  0  1 X^2+1  X X^2+X+1 X^2+1  1 X^2 X^2+X X^2+X+1 X^2+1  1 X^2 X+1  X  1  1 X^2+1 X^2+X+1 X^2+X+1 X^2  0  X  X X^2  1 X^2 X+1 X+1 X^2+X X^2+1 X^2+1 X^2  1 X^2+X+1  1  X  0
 0  0  0  1 X+1 X^2 X^2+X+1 X^2+1 X^2+1  1  1 X+1 X^2 X^2+X X^2 X^2+X X^2+X X^2+1  0  0 X+1 X^2+X  1  1 X^2+X+1  X  1  1  0 X^2 X+1  0 X^2+X X^2+X X^2+X+1  X  X X^2+1 X^2+1 X+1 X+1 X+1
 0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2  0 X^2  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2 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+214x^36+418x^37+706x^38+644x^39+902x^40+764x^41+1042x^42+758x^43+850x^44+616x^45+608x^46+300x^47+237x^48+52x^49+42x^50+24x^51+4x^52+6x^53+2x^54+2x^59

The gray image is a linear code over GF(2) with n=168, k=13 and d=72.
This code was found by Heurico 1.16 in 1.65 seconds.