Narrative:

Clearance was received from teb clearance delivery. 'Turn right heading 280 degrees; join the teb 5 departure; radar vectors brezy; as filed; expect 15000 ft in 10 mins.' upon receipt of clearance; I verified with clearance delivery that he wanted us to turn to heading 280 degrees as soon as possible instead of climbing to 1500 ft first. We were departing runway 24. This was verified. Upon radio contact with departure; the clearance was amended to 'fly heading 280 degrees maintain 1500 ft.' at the 4.5 DME from teb; the PNF was trying to make contact with departure control for a higher altitude. The frequency was busy due to WX and traffic. About 6 to 7 DME the GPWS activated with 'terrain climb.' I turned the autoplt off and started the climb. Almost immediately the controller issued climb instructions to climb to 6000 ft. To prevent a recurrence I think the amended clearance should be 'fly heading 280 degrees; maintain 1500 ft till the 4.5 DME then climb to 2000 ft as published.' it might be helpful for pilots in this situation to start keying the transponder 'identify' to get the attention of the controller.

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Original NASA ASRS Text

Title: A BE40 CREW DEPARTING TEB WERE GIVEN A 280 DEG HDG MAINTAIN 1500 FT. ATC FAILED TO GIVE HIGHER ALT UNTIL A TERRAIN WARNING OCCURRED AT TEB 5 DME.

Narrative: CLRNC WAS RECEIVED FROM TEB CLRNC DELIVERY. 'TURN R HDG 280 DEGS; JOIN THE TEB 5 DEP; RADAR VECTORS BREZY; AS FILED; EXPECT 15000 FT IN 10 MINS.' UPON RECEIPT OF CLRNC; I VERIFIED WITH CLRNC DELIVERY THAT HE WANTED US TO TURN TO HDG 280 DEGS AS SOON AS POSSIBLE INSTEAD OF CLBING TO 1500 FT FIRST. WE WERE DEPARTING RWY 24. THIS WAS VERIFIED. UPON RADIO CONTACT WITH DEP; THE CLRNC WAS AMENDED TO 'FLY HDG 280 DEGS MAINTAIN 1500 FT.' AT THE 4.5 DME FROM TEB; THE PNF WAS TRYING TO MAKE CONTACT WITH DEP CTL FOR A HIGHER ALT. THE FREQUENCY WAS BUSY DUE TO WX AND TFC. ABOUT 6 TO 7 DME THE GPWS ACTIVATED WITH 'TERRAIN CLB.' I TURNED THE AUTOPLT OFF AND STARTED THE CLB. ALMOST IMMEDIATELY THE CTLR ISSUED CLB INSTRUCTIONS TO CLB TO 6000 FT. TO PREVENT A RECURRENCE I THINK THE AMENDED CLRNC SHOULD BE 'FLY HDG 280 DEGS; MAINTAIN 1500 FT TILL THE 4.5 DME THEN CLB TO 2000 FT AS PUBLISHED.' IT MIGHT BE HELPFUL FOR PLTS IN THIS SIT TO START KEYING THE XPONDER 'IDENT' TO GET THE ATTENTION OF THE CTLR.

Data retrieved from NASA's ASRS site as of January 2009 and automatically converted to unabbreviated mixed upper/lowercase text. This report is for informational purposes with no guarantee of accuracy. See NASA's ASRS site for official report.