First post here...former US FAA ATC, FAA Terps specialist and now FAA Flight Inspection Pilot:
400 feet for straight ahead climb (Zone 1), then turn on course as assigned for Diverse Vector Area (DVA). Climb at minimum 200 ft per mile unless stated otherwise. ATC procedures like this require TERPS evaluation for obstacle clearance and all assume 400 ft straight ahead climb before the turn (2 NM worst case). This initial climb is the same for all vector or pilot nav departures unless the word "immediately" is included to avoid terrain. When you see that word, take heed.
FlyWright