The generator matrix

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

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+176x^36+96x^37+358x^38+288x^39+522x^40+424x^41+568x^42+352x^43+450x^44+240x^45+264x^46+128x^47+131x^48+8x^49+48x^50+30x^52+10x^54+2x^56

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 0.589 seconds.