The generator matrix

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

generates a code of length 42 over Z2[X]/(X^3) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+161x^32+404x^34+52x^35+760x^36+272x^37+1413x^38+672x^39+2089x^40+1040x^41+2553x^42+1064x^43+2240x^44+688x^45+1396x^46+256x^47+765x^48+48x^49+318x^50+4x^51+120x^52+53x^54+7x^56+5x^58+2x^62+1x^64

The gray image is a linear code over GF(2) with n=168, k=14 and d=64.
This code was found by Heurico 1.16 in 11.2 seconds.