The generator matrix

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

generates a code of length 42 over Z2[X]/(X^3) who´s minimum homogenous weight is 37.

Homogenous weight enumerator: w(x)=1x^0+230x^37+360x^38+472x^39+453x^40+414x^41+436x^42+460x^43+338x^44+318x^45+188x^46+216x^47+96x^48+58x^49+48x^50+4x^51+4x^53

The gray image is a linear code over GF(2) with n=168, k=12 and d=74.
This code was found by Heurico 1.16 in 0.915 seconds.