This is how we did my friends '03 cobra when we rebuilt his. Regular Castrol 5w20. First start get the engine up to temp, rev the motor a bit after burping the coolant system, take it for a spin around the block to make sure all is well as it should be, park it, let it cool, and dump the oil. Another 6qts of regular 5w20 and it's off to the dyno to get ripped on. After the dyno clock 500 miles of regular traffic, no road trips or long freeway cruises. At 500 we dump the last of the regular oil and he switches to the oil he intends to keep in it (in his case, Motorcraft 5w20 synthetic blend). His next oil change shouldn't be until 6k-7k/mi later after that.
^This is our ritual. There are many variations to breaking in a motor, but this way has worked for us. I think it's important to run a regular (non-synthetic) oil for startup and dyno+miles. As stated previously, synthetic oils reduce friction, and you need friction and heat for break in.