Plot hole: A central plot device in this episode is that there is no six letter word made up of the letters EXVIN, so the murdered man cheats at the word game by playing a word he knew to be inadmissible - exvin, a wine connoisseur who no longer drinks. Since he is supposed to be a stone cold killer player at this word game, don't you think he would have thought of Vixen? Sara Sidle points that word out later - why wouldn't a world champion word game player have figured it out, using a safe, common word and avoiding a possible challenge?
Other mistake: In the flashback that shows Adam Brenner playing his opponent using the word "Exvin", we can see that the X is also used in "Juxtapose". When the opponent adds an S to "Exvin", he is challenged and made to take back his tiles. However, the X would remain where it is because it is a part of another word. Since the opponent plays a word using an X later in the game ("Loxodrome"), we know that he must have taken back the X as well. However, that cannot be the case as then "Juxtapose" would not be able to stand without the X. He couldn't play it as part of "Exvin" due to the existence of the word Antothenics underneath Juxtapose.