The generator matrix

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

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+56x^38+74x^40+42x^42+26x^44+23x^46+19x^48+6x^50+6x^52+2x^56+1x^62

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 0.046 seconds.