The generator matrix

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

generates a code of length 42 over Z2[X]/(X^2) who�s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+42x^38+77x^40+56x^42+46x^44+14x^46+4x^48+4x^52+8x^54+4x^56

The gray image is a linear code over GF(2) with n=84, k=8 and d=38.
This code was found by Heurico 1.16 in 0.0133 seconds.