Business jet failed to meet departure crossing restriction at OAK.

Narrative

We departed Runway 29 OAK shortly after a 319 Airbus and the Captain said he would do a fairly steep climb to avoid wake turbulence. A couple minutes later as we were passing about 3;000 MSL ATC said you were supposed to maintain 2;000 until passing 4 DME northwest of Oakland VOR. We leveled at about 3;300 MSL and ask ATC if he would like us to descend back down. He said negative and gave us a clearance to 11;000. The flight was continued and there was no further reference to the event. Later in the flight we looked at the departure plate and realized we had missed the 4 DME restriction. When I copied the clearance and entered the flight plan in the computer I noted that there were several departure procedures for OAK but the Oakland 5 was not listed; could not be entered; and was a vector. Our clearance was as follows: Cleared to ZZZ via the Oakland Five departure; Concord then the arrival to ZZZ as filed maintain 11;000. I entered the plan we double checked the legs and discussed the takeoff and departure as part of our normal pre-start checks. Both of us looked at the departure; noted that it was a vector and our altitude clearance limit was 11;000. We somehow both missed the very small notes regarding the 4 DME at or below 2;000 restriction. I feel as though a combination of things caused this event. I should have reviewed the OAK 5 departure more carefully. The clearance limit of 11;000 issued by ATC was misleading and kind of a trap. The print on the departure plate is very small and the 2;000 FT restriction is not printed darker or larger to stand out in the narrative; only in the depiction below the OAK VOR. Fatigue may have been a factor. This was the third leg of a duty day that started with an early morning show after several days of much later show times. My sleep was interrupted a couple times before getting up. Still these things are not an excuse for misreading the departure plate. I will double my efforts to more carefully review departure and arrival procedures in the future.