The generator matrix

 1  0  0  0  0  0  0  1  1  1  X  1  0  1  X  1  X  1  1  0  0  1  0  1  X  X  0  1  0  1  0  1  0  X  0  1  0  1  X  X  1  0  1  1  1  0  X  0  1
 0  1  0  0  0  0  0  0  0  0  0  0  1  X  1 X+1  1 X+1 X+1  1  1 X+1  1  1  X  X  1 X+1  X  1  1 X+1  X  1  1  0  X  0  X  X  X  1  X  X  X  0  1  1  0
 0  0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  1  1  1  1 X+1 X+1  1 X+1 X+1 X+1  1 X+1  X  1  1  1  0  X  1  1  X  0  0
 0  0  0  1  0  0  0  0 X+1  X  1  1  0  0  1 X+1  X X+1  1  0  1  X  1  X  1  0  1 X+1  X  X  0  1  1 X+1 X+1  1 X+1  1  1  1 X+1  0  1  1 X+1  1  X  1  0
 0  0  0  0  1  0  0  0  1 X+1  1  0  1  1  1  1 X+1  0  X  X  0 X+1  1  X X+1  0  X  0  1  0 X+1 X+1 X+1  1  X  0  0  0  X  X  1 X+1  1 X+1  X  1  0  0  0
 0  0  0  0  0  1  0  1  0  1  1  1  X  1  X  0 X+1 X+1  0  1  0 X+1 X+1  0  X  1  X  X X+1  1  X  1 X+1 X+1 X+1 X+1  1  1  1  1  1  0  X X+1  X  X X+1  0  0
 0  0  0  0  0  0  1  1 X+1  0 X+1  X X+1  1 X+1  X  0  0 X+1 X+1  X  1  X  1  0 X+1  0  X  1  1  1  0  0 X+1 X+1  1 X+1  X  X  0  X  1  0 X+1  0  0  0  1  0
 0  0  0  0  0  0  0  X  X  X  X  0  X  0  0  0  X  X  X  0  X  X  0  X  X  X  0  0  0  0  0  0  X  X  X  0  X  X  0  0  0  0  0  0  X  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+78x^36+108x^37+380x^38+434x^39+646x^40+848x^41+1050x^42+1150x^43+1590x^44+1852x^45+2030x^46+2400x^47+2308x^48+2566x^49+2497x^50+2578x^51+2103x^52+2038x^53+1685x^54+1274x^55+986x^56+644x^57+572x^58+314x^59+312x^60+128x^61+96x^62+36x^63+35x^64+6x^65+9x^66+6x^67+5x^68+2x^69+1x^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 98.4 seconds.