The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  X  1  1  1  1  X  0  0  1  1  1  1  0  1  0  X  1  0  1  1  1  0  X  0  1  X  1  X  1  1  1  0  1  1  1  1
 0  1  0  1  0  1  1  0  0  1 X+1  1  X  1  0  X  1 X+1  1  0  1 X+1  0 X+1  X  1  X  X  1  X  1  1  1  0  X  1  1 X+1  1  X  X  1 X+1  1  1  X X+1  X  0
 0  0  1  1  1  0  1  0  1  1  0  X  1 X+1 X+1  X X+1  X X+1  1  0 X+1  0  0  0  0 X+1  1 X+1 X+1  0  0  1  X  1  1  X  0  X  1  1  0  X X+1  X  X  1  X  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  X  0  X  X  0  0  X  0  X  0  0  X  0  0  0  0  X  X  X  X  0  X  0  X  0  X  0  0  X  X  0  X  X
 0  0  0  0  X  0  0  0  0  0  X  X  X  0  X  X  0  0  X  0  0  X  X  0  0  X  X  0  0  0  X  0  X  X  0  X  0  X  X  X  0  0  X  0  0  X  X  X  0
 0  0  0  0  0  X  0  0  0  0  X  0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  0  0  X  X  X  X  X  X  X  0  X  X  X  X  X  X  X  0  0  0  X  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  0  0  X  0  X  0  X  X  X  0  0  0  X  X  0  X  X  X  0  X  X  0  0  X  0  X  X  X  0  X  X  X  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  0  X  X  X  0  0  X  0  0  X  0  X  X  X  0  0  0  0  X  0  X  X  0  X  0  X
 0  0  0  0  0  0  0  0  X  0  X  X  X  0  0  X  0  0  X  X  0  0  0  X  X  0  X  X  0  X  0  0  0  X  X  X  0  X  X  0  0  0  0  X  0  0  X  0  X
 0  0  0  0  0  0  0  0  0  X  0  0  0  X  X  X  0  0  X  X  0  X  0  X  0  0  X  0  X  X  X  0  0  0  0  X  X  0  X  X  0  0  0  0  X  X  X  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+108x^38+347x^40+515x^42+791x^44+1109x^46+1209x^48+1235x^50+1111x^52+875x^54+525x^56+209x^58+93x^60+35x^62+14x^64+9x^66+5x^68+1x^70

The gray image is a linear code over GF(2) with n=98, k=13 and d=38.
This code was found by Heurico 1.16 in 99.9 seconds.