The generator matrix

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

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+127x^36+96x^37+370x^38+416x^39+406x^40+512x^41+316x^42+512x^43+393x^44+416x^45+270x^46+96x^47+97x^48+32x^50+27x^52+4x^54+4x^56+1x^60

The gray image is a linear code over GF(2) with n=168, k=12 and d=72.
This code was found by Heurico 1.16 in 0.555 seconds.