DURING DEP FROM MILAN; LINE CHK AIRMAN MISSES ALT XING RESTRICTION AND ALLOWS SPD TO INCREASE 30 KTS.

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I'M A CHK AIRMAN FOR A MAJOR CARRIER. MOST OF MY TIME IS SPENT WORKING IN THE SIMULATORS AND I DON'T GET A LOT OF 'HANDS ON' FLYING. WHEN I'M IN THE AIRPLANE; IT'S USUALLY SPENT WATCHING ANOTHER PLT FLY WHILE I CHK HIM OUT. THIS EVENT OCCURRED DURING A FLT I MADE FOR MY OWN PROFICIENCY. IN FACT; IT HAD BEEN ALMOST 2 MONTHS SINCE I'D FLOWN FOR MYSELF. IT WAS THE FIRST TIME INTO MILAN FOR BOTH THE COPLT AND MYSELF. THE COPLT HAD FLOWN THE LEG OVER AND I WAS GOING TO FLY THE LEG BACK. WE NOTICED SOME ALT XING RESTRICTIONS ON THE DEP PROC DURING OUR COCKPIT SET UP BEFORE STARTING ENGS. IN FACT THERE WERE 4 OF THESE 'AT OR ABOVE' RESTRICTIONS. I THOUGHT I WAS READY MENTALLY FOR THE DEP AND I HAD PICKED THIS LEG TO FLY PURPOSELY. I DID NOT EXPECT TO BE LEVELED AT FL80 BY THE CTLR. THE FIRST PART OF THE DEP WENT WELL; BUT WHEN I TRIED TO FOLLOW THE 'RAW DATA' TOO CLOSELY; I ALLOWED MY SPD TO CREEP UP TO 280 KTS AT 1 POINT DURING A 90 DEG L TURN. WE WERE IFR AT THE TIME AND I DID NOT DO A GREAT JOB OF HAND FLYING. I BECAME DISTR AND FORGOT ABOUT THE 15000 OR ABOVE RESTRICTION PASSING RMG UNTIL THE FO MENTIONED IT. ABOUT THIS TIME THE CTLR ASKED IF WE WERE 'GND CONTACT'; WHICH WE WERE. I CROSSED RMG AT ABOUT 13700 FT. THE CREW ASSUMED TOO MUCH IN MY ABILITY AND DID NOT WARN ME SOON ENOUGH. FOR MY PART; I SHOULD HAVE LET THE COPLT FLY THE LEG. BUT; THE MAIN THING IS THAT I MUST FLY THE AIRPLANE MORE OFTEN FOR MY OWN PROFICIENCY.