The generator matrix

 1  0  0  1  1  1 X^2+X  1  1 X^2+X X^2+X  1  1  0  1  1  X  1  0  1  1  1  X  1  1  1 X^2  1  X X^2+X  1 X^2+X  1  X  1  1 X^2+X  X  1  1 X^2  1
 0  1  0  0  1 X+1  1 X^2  0 X^2  1 X^2+1 X^2+1  1 X^2+X  1  0 X^2+1  1  X X^2 X^2+X  1 X^2+X X+1 X^2+X+1  X  1 X^2+X  1  1  1 X+1  1 X+1  0 X^2+X  1 X^2+1  0  1  1
 0  0  1  1  1  0 X+1  X X^2+X+1  1  0 X^2 X+1 X+1 X^2 X+1  1  X X+1 X^2+1  0  1 X^2+X X^2  0 X+1  1 X^2+1  1  X X^2+X+1 X^2+X+1  X X^2  1 X^2+X+1  1 X^2 X^2+X+1 X^2+1  X X^2+1
 0  0  0  X  0 X^2  0 X^2 X^2+X  0 X^2  0  0  0  0  X X^2+X X^2+X X^2+X X^2  X X^2  X  X X^2+X X^2+X X^2+X X^2+X X^2 X^2 X^2 X^2+X X^2+X X^2+X  X  0 X^2+X  X X^2 X^2  X  X
 0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0  0  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+55x^36+206x^37+326x^38+424x^39+414x^40+470x^41+510x^42+396x^43+377x^44+288x^45+265x^46+194x^47+71x^48+54x^49+16x^50+8x^51+10x^52+6x^53+3x^54+2x^55

The gray image is a linear code over GF(2) with n=168, k=12 and d=72.
This code was found by Heurico 1.16 in 0.427 seconds.