The generator matrix

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

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+508x^44+732x^46+1029x^48+656x^50+636x^52+316x^54+170x^56+24x^58+24x^60

The gray image is a linear code over GF(2) with n=196, k=12 and d=88.
This code was found by Heurico 1.16 in 19.4 seconds.