The generator matrix

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

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+212x^38+644x^40+1176x^42+1736x^44+1906x^46+2393x^48+2524x^50+2234x^52+1674x^54+1103x^56+488x^58+197x^60+78x^62+10x^64+4x^66+2x^70+1x^72+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 1.16 in 47.8 seconds.