The generator matrix

1 0 0 0 0 0 1 1 1 X 1 1 0 0 0 0 1 X 1 1 1 1 1 X X 1 0 1 0 1 1 X 0 X 0 1 1 1 0 0 X 1
0 1 0 0 0 0 0 0 0 0 0 0 X 1 1 1 X+1 1 1 X X 1 0 X 1 1 X X+1 1 X 1 0 1 0 1 X+1 1 1 1 1 1 1
0 0 1 0 0 0 0 0 X X 1 1 1 X 1 X+1 X+1 X+1 X X+1 1 0 X+1 1 X X+1 1 0 X X 0 1 1 1 1 0 0 0 X+1 0 0 1
0 0 0 1 0 0 1 X 1 1 0 X+1 1 1 X 1 1 1 X X 1 X+1 1 0 X+1 0 1 1 X+1 1 X+1 0 X X X+1 X+1 X X+1 0 X+1 1 0
0 0 0 0 1 0 1 X+1 0 1 X X+1 1 1 X X+1 X+1 0 X+1 1 X+1 X 0 1 0 X+1 X 1 1 X+1 0 X 1 X X+1 X+1 X+1 X X X+1 X X
0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 X X+1 1 0 0 0 0 X+1 X X X+1 1 1 1 X+1 0 X 1 0 1 1 0 0 X+1 X+1 X X X X+1

generates a code of length 42 over Z2[X]/(X^2) who´s minimum homogenous weight is 34.

Homogenous weight enumerator: w(x)=1x^0+198x^34+449x^36+560x^38+583x^40+574x^42+568x^44+530x^46+398x^48+164x^50+47x^52+22x^54+1x^56+1x^64

The gray image is a linear code over GF(2) with n=84, k=12 and d=34.
This code was found by Heurico 1.10 in 0.656 seconds.