The generator matrix

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

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+246x^37+336x^38+538x^39+290x^40+568x^41+360x^42+506x^43+244x^44+416x^45+212x^46+190x^47+69x^48+80x^49+16x^50+14x^51+4x^52+2x^53+4x^54

The gray image is a linear code over GF(2) with n=168, k=12 and d=74.
This code was found by Heurico 1.11 in 0.172 seconds.