Okay I am guessing you are not seeing any output?
Make sure you have set remove tag if empty = no, or put something between the tags.
Code:
[TABLE]anything here[/TABLE]
When you are testing. Use the testing box. You will not see any output in the example box -- until you refresh the page.
One more thing:
You are using tag "TABLE" even though this is working you are better calling it something like "QTABLE" for "quicktable". So it doesn't interfer with some weird mod that parses the BBCODE's.