The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  X  X  1  X  1  0  1  1  X  1  1  1  0  X  1  1  X  0  0  1  1  1  1  1  1  0  0  1  X  1  0  1  1  X  1  1
 0  1  0  0  0  1  1  1  0  X X+1 X+1  1  1  0  X  0 X+1  1  0  1  0  X  X  0  1  X  1  1  1  X  1  1  0  0  X X+1  X  1  0  1  0  1  X X+1  0  1 X+1  0
 0  0  1  0  1  1  0  1  0  1  1  X  0  1  1  0  1  1 X+1 X+1  1  1  X X+1  1  X  X  X  0  0  1  1  0  0  1  1  1 X+1  X  1  1  0  0  1  X  X  0  1  0
 0  0  0  1  1  0  1  1  1  0 X+1  X  1  X  1  1  X  1 X+1  0  0  0 X+1 X+1  X  0  1  X X+1  X  0  0  0  0 X+1  X  1  0  X X+1  X  1  X X+1 X+1 X+1  1  1  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  X  0  X  X  0  X  X  X  X  X  X  X  0
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  X  0  X  X  X  X  X  X  0  0  0  0  X  0  X  X  X  0  0  0  X  0  X  0  X  0  0  X  0  X  0  0  X  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  0  0  0  0  0  X  X  X  X  X  X  0  0  0  X  0  0  X  X  X  0  X  X  X  0  0  X  0  0  X  0  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  0  0  X  0  X  X  X  X  X  0  X  X  0  X  0  X  X  0  X  0  0  0  0  0  X  0  X  0  0  X  0  0  X  0
 0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  X  0  X  0  0  X  0  X  X  0  X  0  0  0  0  0  X  0  0  0  0  X  0  X  0  X  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+49x^38+78x^39+202x^40+236x^41+326x^42+408x^43+450x^44+440x^45+478x^46+540x^47+526x^48+648x^49+568x^50+600x^51+513x^52+496x^53+453x^54+350x^55+288x^56+204x^57+150x^58+64x^59+52x^60+24x^61+20x^62+8x^63+13x^64+4x^66+1x^68+2x^72

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 6.42 seconds.