The generator matrix

 1  0  0  0  0  0  0  1  1  1  X  1  1  0  1  1  X  1  1  X  X  1  1  X  0  1  0  1  1  X  1  1  X  1  X  1  1  1  0  1  1  1  0  1  X  0  X  1  1
 0  1  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  0  1  1 X+1 X+1  1 X+1  1  1  1  1 X+1 X+1 X+1  1  1  X  0  1  X  0  1  1  1  0
 0  0  1  0  0  0  0  0  0  0  0  0  1  X  1  1  1  1 X+1  1  1  0  0  1  1  1 X+1  1  X  1  0 X+1  X X+1  0 X+1  X  1 X+1 X+1 X+1  1  X  X  X  X  1  0  0
 0  0  0  1  0  0  0  0  1  1  1  0  1  1  X X+1 X+1  1  1  0  1 X+1  1  X  0  X  0 X+1  0 X+1 X+1  0  1 X+1  X  X  0  1  0  X  0  1  X  1  1 X+1  0  1  0
 0  0  0  0  1  0  0  0  1  X X+1  1 X+1  1  X  X X+1  X  X X+1  1  X  0  0  1  1  1  0 X+1  X X+1  0 X+1 X+1  X  0  X  0  1  1  0  1  0  1 X+1  1  0  0  0
 0  0  0  0  0  1  0  1  0  1 X+1 X+1  0 X+1  X X+1  X X+1  0  0 X+1 X+1  X  1  0  1  1  X  1  0 X+1 X+1  0 X+1 X+1  X  X  0  1  X  0 X+1  0  X  X  1  X  1  0
 0  0  0  0  0  0  1  1 X+1  0  1  X  X  0  0 X+1 X+1  X  1 X+1  X  1  X  X  X X+1  X  0  1  1  X X+1 X+1  1  X  X  1  1  1  0  1  X X+1  1  1  1  1  X  0
 0  0  0  0  0  0  0  X  X  0  0  0  0  X  X  0  X  X  X  0  0  X  0  0  X  X  X  0  0  0  X  X  X  X  X  X  0  X  0  0  0  0  0  0  X  X  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+96x^36+124x^37+330x^38+412x^39+691x^40+776x^41+1059x^42+1274x^43+1585x^44+1814x^45+1992x^46+2380x^47+2321x^48+2646x^49+2530x^50+2480x^51+2038x^52+2048x^53+1661x^54+1292x^55+1061x^56+684x^57+619x^58+290x^59+253x^60+78x^61+110x^62+60x^63+14x^64+22x^65+16x^66+4x^67+4x^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 1.11 in 35.9 seconds.