Nothing but Perl here...

85:

perl -E '$d=86400;$t=$^T-$d;($m,$w)=(gmtime($t+=$d))[3,6]until$m>7&&$m<15&&$w==2;say-gmtime$t'

82 if today being the second Tuesday of the month means you've missed scheduling the meeting already:

perl -E '$d=86400;$t=$^T;($m,$w)=(gmtime($t+=$d))[3,6]until$m>7&&$m<15&&$w==2;say-gmtime$t'

Update (2009-04-16, 18:35 GMT):
Trimmed one character for the version that works even if the current day is the second Tuesday of the month, for 84:

perl -E '$t=$^T-($d=86400);($m,$w)=(gmtime($t+=$d))[3,6]until$m>7&&$m<15&&$w==2;say-gmtime$t'

end of update