B737 FLT CREW OVERLOOKED THE ALT RESTRICTION AT 'ZOOBE' ON THE WEVIC RNAV DEP; AND CLIMBED THROUGH THE MANDATORY 14000 FT.

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RECEIVED INITIAL CLRNC FOR THE WEVIC ONE RNAV DEP FROM SLC KSINO TRANSITION AS FILED. THE WEVIC ONE STATES AT TOP TO MAINTAIN 16000 FT. I (FO); READ THE FILED CLRNC AS WEVIC ONE DEP KSINO TRANSITION; X ARR INTO CITY; KSINO TRANSITION. HOWEVER; THERE IS NO KSINO TRANSITION IN FMC; SO SPENT TIME QUESTIONING CAPT AND CLRNC DELIVERY ABOUT OUR RTE OF FLT AND ALSO TOOK EXTRA TIME INPUTTING RTE INTO FMC. INBOUND FLT HAD BEEN 5 MINS LATE ARRIVING; SO ALREADY A LITTLE SHORT ON TIME. I GAVE A HURRIED CLRNC BRIEFING; AND FAILED TO NOTICE THE 14000 FT MANDATORY ALT AT ZOOBE; INSTEAD STATING ONLY THAT WE WERE CLRED TO 16000 FT WHICH WAS SET IN ALT WINDOW. CAPT ALSO FAILED TO NOTICE THE RESTR AT ZOOBE. WHILE TAXIING; GND CTL ADVISED US TO EXPECT DEP FROM RWY 17; VERSUS RWY 16L AS WE PLANNED. COCKPIT JUMPSEAT RIDERS ASSISTED WITH PERFORMANCE PLANNING WHILE I REPROGRAMMED FMC FOR RWY 17; AGAIN; TAKING OUR CONCENTRATION AWAY FROM THE UPCOMING DEP. OTHERWISE; TAXI; TKOF; AND DEP WERE UNEVENTFUL UNTIL ZLC ADVISED US AS WE WERE PASSING APPROX 14500 FT WITH GREATER THAN 4000 FPM CLB; THAT THERE WAS A 14000 FT RESTR AT ZOOBE. I RESPONDED TO THE CALL; BUT BY THE TIME WE WERE ABLE TO LEVEL OFF; WE HAD REACHED 16000 FT AND CTR THEN CLRED US TO REMAIN AT 16000 FT; ADVISED US OF OUR DEV AND GAVE US A NUMBER TO CALL. CTR ALSO STATED THAT THIS WAS THE FIRST DAY USING THIS DEP; AND WE WERE AT LEAST THE 6TH ACFT TO MISS THE ZOOBE RESTR. OBVIOUSLY MORE ATTN TO DETAIL DURING THE CLRNC BRIEFING WOULD HAVE ALLEVIATED THIS PROB. HOWEVER; IN MY ADMITTEDLY LIMITED EXPERIENCE; THIS DEP SEEMS ABNORMAL. MOST OTHER DEPS WITH A HARD ALT LOWER THAN INITIAL CLRNC ALT HAVE THE HARD ALT VERY CLOSE (INSIDE OF 10 MI) TO THE AIRFIELD. BOTH THE CAPT AND I HAD NOTED THE EARLIER RESTR AT MYRUP AND INCORRECTLY ASSUMED THAT THERE WERE NO RESTRS FURTHER OUT THAT WERE A FACTOR. I FEEL THAT CHANGING THE ALT SECTION ON THE WEVIC ONE TO READ; 'MAINTAIN 14000' WOULD COMPLETELY ALLEVIATE THIS PROB.