The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  1  X  X  X  1  X  X  1  1  1  X  1  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  0  X  0  X  X  X  X  0  X  X  0  0  X  0  X  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  X  X  0  0  X  0  0  X  X  X  X  X  0  0  0  0  0  0  X  0  X  X  0  0  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  X  0  0  0  X  X  X  X  X  X  0  0  0  0  X  X  0  X  0  0  X  X  0  X  0  X  0  X  0  X  0  X  X  X  0  0
 0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  X  0  X  X  0  X  X  X  0  0  0  X  X  0  0  0  X  0  0  0  X  0  X  X  X  X  X  X  X
 0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  X  X  0  X  X  0  X  0  X  0  X  X  X  0  X  0  0  0  0  X  X  0  X  0  0  0  X  0  X  X  0  0  X  X
 0  0  0  0  0  0  X  0  0  0  0  0  X  0  0  0  X  X  X  X  0  X  X  0  X  0  X  0  X  0  0  X  0  0  0  X  X  X  X  0  0  X  X  X  X  X  X  0  0
 0  0  0  0  0  0  0  X  0  0  0  X  0  0  0  0  X  X  0  X  0  0  0  X  X  X  0  0  0  X  X  0  X  0  X  0  X  0  0  0  0  X  X  X  X  0  X  0  0
 0  0  0  0  0  0  0  0  X  0  0  X  0  0  0  X  0  0  X  0  X  0  0  X  0  0  0  0  X  X  X  0  X  X  X  X  X  0  X  X  0  0  0  0  X  0  X  0  0
 0  0  0  0  0  0  0  0  0  X  0  X  X  X  X  X  0  0  0  X  0  0  X  X  0  0  X  0  X  X  0  X  0  0  0  X  X  0  X  0  X  0  0  X  X  X  0  0  0
 0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  X  X  X  X  X  0  X  0  X  0  0  0  0  0  0  0  0  0  X  X  0  0  X  0  X  0  0  0  X  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+108x^36+268x^40+36x^42+507x^44+336x^46+893x^48+504x^50+727x^52+144x^54+356x^56+4x^58+153x^60+49x^64+9x^68+1x^80

The gray image is a linear code over GF(2) with n=98, k=12 and d=36.
This code was found by Heurico 1.16 in 2.62 seconds.