The generator matrix

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

generates a code of length 42 over Z2[X]/(X^3) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+72x^33+279x^34+478x^35+776x^36+1266x^37+1922x^38+2572x^39+3262x^40+3816x^41+3920x^42+3790x^43+3274x^44+2600x^45+1898x^46+1294x^47+777x^48+360x^49+225x^50+116x^51+37x^52+14x^53+12x^54+6x^55+1x^68

The gray image is a linear code over GF(2) with n=168, k=15 and d=66.
This code was found by Heurico 1.16 in 24.6 seconds.