The generator matrix

 1  0  1  1  1 X^2+X  1  1  X  1  1 X^2  1  1 X^2+X  1  1  1 X^2  1  1  1  0  1  X  1  1  1  0  1  1  0  1  1  X  1  1 X^2+X  1  1  X X^2  1  X  1  1  1  0 X^2
 0  1  1 X^2+X X^2+X+1  1 X^2 X+1  1  X X^2+1  1 X^2+X  1  1  0 X+1 X^2+1  1 X^2  X X^2+1  1  1  1 X+1  0 X^2  1 X^2 X^2  1 X+1  X  1 X^2 X+1  1 X^2+X  0 X^2+X  1 X^2+X X^2 X^2+X  1  1  1  X
 0  0  X  0 X^2+X  0  X X^2  X  X X^2  X  0  X  0 X^2  0 X^2  X  X X^2+X X^2+X X^2  X X^2+X X^2+X  0 X^2  0 X^2 X^2+X  X X^2  0 X^2  X  0  X  X  0 X^2+X  0  X  0  0 X^2 X^2  0  X
 0  0  0 X^2  0  0  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0  0  0 X^2 X^2  0  0 X^2 X^2
 0  0  0  0 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2  0 X^2  0  0  0 X^2  0 X^2  0 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2
 0  0  0  0  0 X^2 X^2 X^2  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0  0 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2

generates a code of length 49 over Z2[X]/(X^3) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+280x^44+312x^46+513x^48+340x^50+386x^52+112x^54+80x^56+4x^58+14x^60+6x^64

The gray image is a linear code over GF(2) with n=196, k=11 and d=88.
This code was found by Heurico 1.16 in 0.613 seconds.