Well i am not using that other program but according to flight stats..
There are 2 J (Business class) tickets avialable on the A340. So i would imagine they will hold you up until as coolfish says till the last 72hrs assuming those 2 hold. And if 1 left they will hold you until like 24hrs before flight departure.

Still 2 weeks and 3/4 days before your departure. Honestly i think your chances are very low as plenty of time to fill those final 2 seats from paying customers and being J class means they will charge full price for them.