The generator matrix

 1  0  1  1  1  0  1 X^2+X  1  1 X^2+X  1  1 X^2  1  1  1 X^2  X  0  1  1  0  1  1  1  1  1  X  1  X  1  X  1  1  1  1  1  1  1 X^2  1
 0  1  1  0 X^2+X+1  1  X  1 X^2+X+1  X  1  1 X^2  1  0 X+1 X^2+X+1  1  1  1 X^2+1 X^2+X  1 X^2+1 X^2+X X^2+1  1  0  1 X^2  1 X+1  1 X^2+X X+1 X+1 X^2+X X+1 X^2+1 X^2+1  X X^2
 0  0  X  0 X^2+X  X  0  X  0  X X^2  0  X  0 X^2+X X^2  X  X X^2+X X^2 X^2  0 X^2+X X^2 X^2+X  X X^2+X  X  0  0  0 X^2  X X^2  X X^2  X X^2  0  0  X X^2
 0  0  0  X  0  X  X  X X^2+X  0 X^2 X^2+X X^2  X  X X^2 X^2+X X^2 X^2  X  0  0 X^2+X X^2+X X^2+X X^2+X  X  X X^2  0  X  0 X^2  X X^2+X  X X^2 X^2 X^2  0 X^2 X^2+X
 0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0  0  0  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0 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+120x^37+206x^38+150x^39+215x^40+262x^41+213x^42+214x^43+218x^44+198x^45+134x^46+42x^47+11x^48+26x^49+14x^50+10x^51+2x^52+2x^53+8x^54+1x^56+1x^58

The gray image is a linear code over GF(2) with n=168, k=11 and d=74.
This code was found by Heurico 1.16 in 6.55 seconds.