Please find 13 words beginning and ending with "T", each of unique length in the span 3-15 letters, with the following definitions (which are in no particular order):

catapult
like Poe's Bells
debug
shirker
personal disposition
the act of giving a new exalted appearance to
New Year’s Day
equivalent
low table
Him airer
between
to beam
grass clump


(This puzzle was inspired by A.T.'s "13 L2Ls" puzzle.)