The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  1  X  X  X  1  X  0  1  1  1  X  0  1  0  1  1  1  0  1  1  0  X  1  0  0  X  0  1  1  0  1  X  1  1  X  X  0  1
 0  1  0  0  0  1  1  1  0  0 X+1 X+1  1  1  0  X  0  0  X X+1  X  1  1  X  1  1 X+1  X  1 X+1  1  X  1  1  X  0  X  1  X  0  1  1  1  0 X+1  X  X  0  0
 0  0  1  0  1  1  0  1  0  1  1  0  1  0  1 X+1  1  1  X  X  1  0  1  0  X  0 X+1 X+1  1  1  X  1  0 X+1  X  1  0  1 X+1  X X+1  X  1  X  X  1  1  1  0
 0  0  0  1  1  0  1  1  1  0  1  0  0  1  1  X X+1  X  0  X  1  1 X+1  1  X  1  0 X+1  X X+1 X+1 X+1  0  1  1  X  1  X X+1  0  1  0  X  1  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  X  0  0  X  X  X  X  X  X  0  X  0  0  X  X  X  X  X  X  X  0  0  0  X  0  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  X  0  0  X  0  X  X  0  0  X  X  X  0  0  X  0  X  0  X  X  X  0  0  0  X  X  0  X  X  X  X  X  X  X  X  X  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  X  0  X  0  X  X  X  X  X  X  0  0  0  X  X  0  0  0  X  X  0  X  0  0  X  0  X  X  X  X  0  X  X  0  0
 0  0  0  0  0  0  0  X  0  0  X  X  0  X  0  0  X  X  0  X  0  X  0  0  0  0  X  0  0  X  0  0  X  X  X  X  0  0  X  0  X  0  X  0  0  X  0  X  0
 0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  0  X  X  X  X  0  0  0  0  X  X  0  X  0  X  0  X  0  X  0  0  X  0  X  0  0  0  X  X  X  0  X  0
 0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  0  0  X  X  0  X  X  0  X  X  X  0  X  X  X  X  0  0  0  X  X  X  X  0  X  X  0  X  0  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+42x^36+66x^37+128x^38+236x^39+333x^40+402x^41+555x^42+612x^43+733x^44+922x^45+1035x^46+1196x^47+1250x^48+1276x^49+1281x^50+1202x^51+1078x^52+1014x^53+771x^54+644x^55+513x^56+346x^57+253x^58+184x^59+129x^60+62x^61+65x^62+20x^63+15x^64+8x^65+7x^66+2x^67+2x^68+1x^70

The gray image is a linear code over GF(2) with n=98, k=14 and d=36.
This code was found by Heurico 1.16 in 44.4 seconds.