The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  1  0  1  0  X  X  0  1  1  1  1  1  0  1  1  0  0  1  X  1  1  X  0  X  0  0  0  0  X  0  1  X  0  1  0  X  1
 0  1  0  0  0  0  0  0  0  1  1  1  1  1 X+1  X  1  1  1 X+1  X  0  X X+1  0  0  X  1  X X+1  1  0  0  X  1  X  0  0  1  0  1  1  1  X  X  X  0  X  0
 0  0  1  0  0  0  1  1  1  1 X+1  0  0 X+1  X  X  1  X  0  X  1  1  0  1  1 X+1  X X+1  1 X+1  0 X+1  0  1 X+1  X  1  1  1  1  X  1 X+1  0  1  X  1  1  0
 0  0  0  1  0  1  1  0  1  X X+1  1  0  1  1  1  1  0 X+1  X  X  1  1  X  1  1  X  X  X  X  X X+1 X+1  0 X+1  0 X+1  X X+1  1 X+1  X  1  1  0  1  X  1  0
 0  0  0  0  1  1  0  1 X+1  X X+1 X+1  1  X  0 X+1  1 X+1  X  0  0  1  0  1  X  X  0  0  0  1  0 X+1  1  X  0  1  1  1 X+1  0  1  1 X+1  X X+1 X+1 X+1  1  0
 0  0  0  0  0  X  0  0  X  0  X  X  X  X  0  0  0  0  X  0  X  0  0  X  0  X  X  0  X  X  0  0  X  X  X  0  0  X  X  0  X  X  X  0  0  X  0  X  0
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  X  X  X  0  0  X  0  0  X  X  X  0  X  0  X  X  X  X  0  0  X  X  X  0  0  0  0  0  0  0  X  0
 0  0  0  0  0  0  0  X  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  0  X  X  X  0  0  X  X  X  X  X  0  0  X  X  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+46x^38+74x^39+208x^40+262x^41+335x^42+344x^43+412x^44+496x^45+507x^46+566x^47+548x^48+576x^49+575x^50+628x^51+464x^52+500x^53+427x^54+362x^55+334x^56+186x^57+135x^58+68x^59+74x^60+28x^61+19x^62+6x^63+5x^64+3x^66+2x^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 6.41 seconds.