The generator matrix

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

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+19x^36+118x^37+151x^38+198x^39+247x^40+188x^41+222x^42+222x^43+219x^44+216x^45+125x^46+54x^47+22x^48+20x^49+9x^50+2x^51+2x^52+2x^53+4x^54+4x^55+2x^56+1x^58

The gray image is a linear code over GF(2) with n=168, k=11 and d=72.
This code was found by Heurico 1.16 in 0.151 seconds.