You can't go to both TLV and DXB due to the following rule.
<font face="Verdana, Arial, Helvetica" size="2">F)FREE FLIGHT SEGMENTS WITHIN EACH CONTINENT ARE
LIMITED AS FOLLOWS -
AFRICA................4
EUROPE/MIDDLE EAST....4*
(*NOT MORE THAN TWO OF WHICH MAY BE BETWEEN THE U.K AND - ALGERIA/ARMENIA/AZBERBAIJAN/BULGARIA/CYPRUS/GEORGIA/GREECE/ISREAL/
MACEDONIA/MALTA/MOROCCO/FUNCHAL/PORTUGAL/ROMANIA/RUSSIA/TUNSIA/UKRAINE/YUGOSLAVIA/THE MIDDLE EAST)</font>
The best direct flights I could find out of LHR that comply with the rule were to DXB and IST. Unfortunately, IST is only 1500 miles from LHR.
(edited to fix formatting)
[This message has been edited by ExMo (edited 06-26-2001).]