With each player in a game of Scrabble or Words With Friends getting 7 letters at a time on their rack, 6-letter words can play a huge part in deciding who will win and who will lose a game.
The 6-letter words containing EX on this list are worth 15.1 points on average.
But the best of the lot is worth a grand total of 25 in a game of Scrabble and that word is EXEQUY.
If none of the 169 words on this list meet the criteria that you are looking for then you may find some success with similar lists: 6-letter words starting with EX, 6-letter words ending in EX and words with EX.