The generator matrix

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

generates a code of length 42 over Z2[X]/(X^3) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+116x^34+428x^35+1037x^36+1300x^37+2032x^38+2412x^39+3389x^40+3536x^41+4180x^42+3494x^43+3527x^44+2612x^45+2164x^46+1154x^47+730x^48+344x^49+170x^50+62x^51+52x^52+16x^53+8x^54+2x^55+2x^58

The gray image is a linear code over GF(2) with n=168, k=15 and d=68.
This code was found by Heurico 1.16 in 23 seconds.