The generator matrix

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

generates a code of length 42 over Z2[X]/(X^3) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+72x^38+132x^39+197x^40+150x^41+104x^42+64x^43+115x^44+42x^45+37x^46+38x^47+34x^48+16x^49+10x^50+6x^51+5x^52+1x^54

The gray image is a linear code over GF(2) with n=168, k=10 and d=76.
This code was found by Heurico 1.16 in 0.0486 seconds.