The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1  1  1  1  1  1  1  1  1  X  0  1  1 X^2 X^2  0  0  1
 0  X  0  0  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  X  X X^2+X  X  X X^2+X X^2+X  X  X X^2+X X^2+X X^2  X  X X^2+X  X  0  X X^2  X X^2
 0  0  X  0  0  0  0  0  0  0  X X^2+X  X X^2+X X^2+X  X X^2+X  0 X^2 X^2 X^2 X^2  X  X  0 X^2  X X^2  0  X  X  0 X^2+X  X X^2 X^2+X  0 X^2  X  0 X^2+X  0
 0  0  0  X  0  0  0  X X^2+X  X  X  X  0 X^2+X  0 X^2+X X^2  X  0 X^2 X^2  X X^2+X X^2  X X^2+X  0 X^2+X  0 X^2  0 X^2 X^2  X  0 X^2  0  0  0  X  0  0
 0  0  0  0  X  0  X  X  X X^2  0  0 X^2 X^2+X  X X^2+X  X  X X^2+X  X X^2 X^2+X  X X^2+X  X  X  X X^2 X^2+X X^2+X  0  0 X^2+X  0 X^2+X  0  0  X X^2+X  X X^2  0
 0  0  0  0  0  X  X X^2 X^2+X X^2+X  0  X  X  X  0 X^2  X  0 X^2+X  0  X  X X^2  0  0  X X^2+X X^2 X^2 X^2+X  0 X^2+X X^2+X X^2+X  X X^2  0  X X^2+X X^2+X X^2+X  X
 0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2  0  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+85x^32+114x^33+204x^34+284x^35+376x^36+492x^37+658x^38+998x^39+1573x^40+2206x^41+2350x^42+2234x^43+1654x^44+978x^45+656x^46+494x^47+338x^48+280x^49+214x^50+82x^51+66x^52+26x^53+13x^54+4x^55+3x^56+1x^70

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.