The generator matrix

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

generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+82x^36+130x^37+371x^38+400x^39+704x^40+814x^41+1031x^42+1250x^43+1432x^44+1780x^45+2138x^46+2368x^47+2335x^48+2666x^49+2491x^50+2540x^51+2087x^52+2022x^53+1726x^54+1284x^55+990x^56+638x^57+565x^58+302x^59+270x^60+132x^61+98x^62+44x^63+34x^64+10x^65+25x^66+4x^67+1x^68+3x^70

The gray image is a linear code over GF(2) with n=98, k=15 and d=36.
This code was found by Heurico 1.16 in 90.1 seconds.