GLF4 FLT CREW FAILS TO COMPLY WITH 1500 FT MSL RESTR ON TEB DEP.

Narrative

AFTER LNDG AT TEB WE RECEIVED AN IFR TO EWR AS FOLLOWS: TEB 5; MAINTAIN 3000 FT; EXPECT VECTORS TO THE ILS RWY 22L AT EWR. WX WAS ABOUT 1400 FT OVERCAST WITH ABOUT 2 MI VISIBILITY; WINDS SE AT 15 TO 20 KTS; RAINY; TURBULENT. FO FLEW THE LEG FROM THE L SEAT. WE ANTICIPATED A LONG DELAY BUT WERE ADVISED TO START ENGINES IMMEDIATELY AS CLRNC WAS OBTAINED; AND THEY WOULD GET US RIGHT OUT. FMS WAS SET UP AND THE BRIEFING WAS MADE QUICKLY WHILE TAXIING OUT. ALSO WE HAD TO BRIEF THE SID AND THE ILS RWY 22L AND GET EVERYTHING SET UP. THEY PULLED US OUT OF THE LINEUP AND CLRED US FOR TKOF RIGHT AWAY. I FELT THAT WE WERE IN A RUSH. DEPARTED ON RWY 24 AND ALL SEEMED TO BE NORMAL UNTIL THE CTLR INSTRUCTED US TO DSND IMMEDIATELY BACK DOWN TO 1500 FT. THIS WAS RAPIDLY COMPLIED WITH. SOMEHOW WE STARTED TO CLB PREMATURELY. ALTHOUGH WE FLY IN AND OUT OF THIS ARPT FREQUENTLY WE ALWAYS REVIEW ALL SID'S PER OUR OPS MANUAL. ATC VECTORED US FOR THE ILS. THEY DID NOT REQUEST A PHONE CALL OR INDICATE THAT THEY WISHED TO PURSUE THIS IN ANY WAY. NEW YORK DEP DID A GOOD JOB IN PREVENTING A POTENTIAL PROB.