The generator matrix

1 0 0 0 0 0 0 1 1 1 X 1 1 1 1 0 0 X X 1 X 0 0 1 1 0 1 0 1 X 0 1 X 1 X 1 0 X 0 1 1 X 0 1 0 X X 1 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 1 1 1 1 1 1 1 1 1 X X 1 1 X X 0 1 1 0 1 1 X X+1 X 0 X 1 1 1 1 1 0
0 0 1 0 0 0 0 0 0 0 0 0 0 X X 0 X X 0 0 0 0 X X X 0 X 0 1 X+1 1 X+1 1 X+1 X+1 X+1 1 1 1 X+1 X+1 1 1 X+1 0 1 X 1 1
0 0 0 1 0 0 0 0 0 X X 1 1 1 X+1 1 1 X X X X+1 X+1 X+1 0 X+1 1 0 1 0 X+1 1 X+1 0 0 1 X+1 0 1 0 1 X+1 X X+1 X+1 X X+1 X+1 X+1 X
0 0 0 0 1 0 0 1 X 1 1 0 X+1 0 1 1 0 X 0 0 0 1 1 X+1 0 0 X X+1 X 0 X 1 X+1 X+1 1 0 1 X+1 X 0 X+1 1 X+1 X+1 X+1 X X+1 X+1 X
0 0 0 0 0 1 0 1 X+1 0 1 X X+1 1 0 1 1 X X+1 1 X X+1 X 1 0 X+1 X 0 0 1 1 1 X 0 X+1 X X 0 0 X+1 X X X X X+1 X+1 X+1 X+1 0
0 0 0 0 0 0 1 X 1 1 X+1 1 X+1 0 X 0 X+1 1 X+1 X 1 1 0 X+1 0 X 1 1 X+1 X+1 1 X+1 0 X X+1 0 1 X+1 0 0 X 0 X+1 X+1 1 X 1 X+1 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+200x^38+754x^40+1050x^42+1637x^44+1998x^46+2500x^48+2464x^50+2263x^52+1668x^54+1034x^56+498x^58+232x^60+54x^62+23x^64+4x^66+3x^68+1x^76

The gray image is a linear code over GF(2) with n=98, k=14 and d=38.
This code was found by Heurico 1.10 in 7.97 seconds.