The generator matrix

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

generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+50x^41+105x^42+112x^43+150x^44+168x^45+143x^46+144x^47+141x^48+136x^49+149x^50+136x^51+106x^52+92x^53+76x^54+96x^55+96x^56+54x^57+33x^58+24x^59+16x^60+12x^61+5x^62+2x^64+1x^66

The gray image is a linear code over GF(2) with n=98, k=11 and d=41.
This code was found by Heurico 1.16 in 0.396 seconds.