The generator matrix

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

generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+247x^38+632x^40+1093x^42+1667x^44+2142x^46+2344x^48+2459x^50+2238x^52+1672x^54+1064x^56+523x^58+237x^60+50x^62+7x^64+5x^66+1x^68+1x^70+1x^84

The gray image is a linear code over GF(2) with n=98, k=14 and d=38.
This code was found by Heurico 1.16 in 72.2 seconds.