CL601 FLC HAS ALTDEV DURING PUBLISHED DEP.

Narrative

OUR FLT DEPARTED RWY 24 ON THE TEB FIVE DEP. AFTER TKOF; WE ACCIDENTALLY NEGLECTED AN ALT RESTR TO MAINTAIN 1500 FT UNTIL 4.8 DME AND CLBED TO THE INITIAL ALT OF 2000 FT. OUR CLB RESULTED IN A TA (TCASII) CAUSED BY AN ACFT ON APCH. THE TFC WAS VISUALLY IN SIGHT THROUGHOUT THE OCCURRENCE; AND AN RA WAS NEVER RECEIVED DUE TO OUR INCREASING SPACING BY THIS POINT. DEP MADE US AWARE OF OUR MISUNDERSTANDING AND THAT WE HAD COMPROMISED REQUIRED SEPARATION. WE WERE INSTRUCTED TO CONTINUE OUR CLB AND THE FLT CONTINUED WITHOUT FURTHER INCIDENT. OUR ERROR OCCURRED ON A NIGHTTIME REPOSITIONING LEG AFTER A W COAST TO E COAST TRIP. BECAUSE OF A DEP PLANNED FOR THE FOLLOWING MORNING; DUTY TIME AND REST WAS A PRESSURING FACTOR. DURING TAXI TO RWY 19 THE GND CTLR INSTRUCTED US TO TAXI FOR RWY 24. THE DEP DIFFERENCES INCLUDE AN UNRESTR CLB TO 2000 FT VERSUS THE RESTR CLB TO THAT ALT FOR RWYS 19 AND 24; RESPECTIVELY. SPECIAL ATTN SHOULD HAVE BEEN GIVEN TO THE RWY CHANGE AND THE DIFFERENCES ON THE DEP CONSIDERING THE COMPLEXITY OF THE AREA.