The generator matrix

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

generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+188x^40+272x^42+514x^44+474x^46+645x^48+536x^50+598x^52+396x^54+283x^56+104x^58+54x^60+10x^62+18x^64+2x^68+1x^72

The gray image is a linear code over GF(2) with n=98, k=12 and d=40.
This code was found by Heurico 1.16 in 2.65 seconds.