The generator matrix

 1  0  0  0  0  0  1  1  1  0  1  1  X  1  0  1  1  1  1  0  X  0  1  1  1  X  X  1  0  0  X  1  1  X  1  1  1  1  0  X  0  0  1  1  0  1  X  0  X
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  X  1  1  1  1  1  1  X X+1  1  X  1  1  X  1  1  1  X  0  X  0  X X+1  1  1  0  X  0 X+1  0  X  1  1  1  1
 0  0  1  0  0  0  0  0  0  0  1  1  1 X+1  1 X+1  X X+1  0  1  1  1  X  0 X+1 X+1  1 X+1 X+1  X  0  1  1  X X+1  1  X  1  0  X  1  1 X+1  X  1 X+1  0  1  1
 0  0  0  1  0  0  0  1  1  1  X  1 X+1 X+1 X+1  X  0  0 X+1 X+1  1  X  1  1  X  0  0  1  1  1  X X+1  1  1  X  X  0  1  0  1 X+1  0  1 X+1  X  X X+1  0 X+1
 0  0  0  0  1  0  1  1  0 X+1  X  0  X X+1  1 X+1  X  0  X  1  X  1 X+1  1  1  0  1  0  X  1 X+1 X+1  0  1  0  X  0  X  X  1  X X+1 X+1  1  0  0  0  1  X
 0  0  0  0  0  1  1  0 X+1 X+1  1  X X+1 X+1  X  1 X+1  0  0 X+1  X  1  X X+1  X X+1  0  0  X  1  1  X X+1  X  X X+1  1  0  1  0  X  X  X  1  0  0  0  1  1
 0  0  0  0  0  0  X  0  X  X  X  0  X  X  0  X  X  0  0  X  0  X  0  X  0  X  0  0  0  0  0  X  0  X  X  0  0  X  0  X  X  X  X  0  0  X  X  0  X
 0  0  0  0  0  0  0  X  0  X  0  X  X  0  0  0  0  X  X  X  0  X  0  X  0  0  X  0  X  X  0  X  0  0  X  X  X  X  X  X  X  X  X  0  X  0  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+202x^38+646x^40+1239x^42+1626x^44+2023x^46+2296x^48+2510x^50+2329x^52+1637x^54+1062x^56+521x^58+212x^60+57x^62+19x^64+1x^66+1x^68+1x^70+1x^82

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 48.2 seconds.