The generator matrix

 1  0  1  1  1 X^2+X  1  1 X^2  1  X  1  1  1  0  1  1  X  0  X  1  1  1  1  1  0  1  1  X  0  1  1  1  1  1  0 X^2  1  1  X  1  1
 0  1  1 X^2+X X^2+X+1  1  0 X+1  1  X  1 X^2+1  1  0  1 X^2  1  1  1  1 X+1 X+1 X^2+X  X X^2  1  X  1  1  1 X^2 X^2+X+1 X+1 X+1 X^2  X  X X^2+X  0 X^2  1 X^2+X
 0  0  X  0 X^2+X  0 X^2+X X^2  X  X X^2+X  0  X  0 X^2  X  0 X^2+X X^2+X  0  X  0 X^2  X  X X^2  X  X X^2+X X^2  0  X X^2 X^2 X^2+X  X X^2+X  0  0 X^2+X X^2+X X^2
 0  0  0 X^2  0  0  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0  0 X^2 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2
 0  0  0  0 X^2  0  0  0  0  0 X^2 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2
 0  0  0  0  0 X^2  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2  0 X^2  0 X^2
 0  0  0  0  0  0 X^2  0 X^2  0  0  0 X^2  0  0 X^2 X^2  0 X^2  0 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 X^2 X^2 X^2 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+161x^36+116x^37+386x^38+312x^39+481x^40+332x^41+610x^42+368x^43+424x^44+300x^45+298x^46+88x^47+113x^48+20x^49+46x^50+31x^52+4x^54+5x^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 1.04 seconds.