The generator matrix

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

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+56x^37+105x^38+90x^39+114x^40+118x^41+129x^42+130x^43+56x^44+62x^45+69x^46+30x^47+16x^48+18x^49+15x^50+6x^51+4x^52+2x^53+2x^54+1x^64

The gray image is a linear code over GF(2) with n=168, k=10 and d=74.
This code was found by Heurico 1.16 in 14.1 seconds.