The generator matrix

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

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+46x^33+120x^34+154x^35+273x^36+312x^37+470x^38+602x^39+749x^40+916x^41+930x^42+948x^43+722x^44+648x^45+432x^46+292x^47+263x^48+110x^49+80x^50+50x^51+37x^52+16x^53+10x^54+2x^55+3x^56+6x^58

The gray image is a linear code over GF(2) with n=168, k=13 and d=66.
This code was found by Heurico 1.16 in 3.08 seconds.