Were the base nuts torqued with the thread lubricant recommended by Lycoming?
90% 50wt mineral oil and 10% STP. Really. Right out of the overhaul manual. It works.
The only way to get a true torque on those base nuts. If you don't they will loosen up.
An A&P friend of mine helped me with an engine and stressed the importance of this.
From Sacramento Sky Ranch:
Were the studs improperly torqued?
Clamping force from torque is no more accurate than the predicted value of thread friction in the fastener. If we apply 40 foot pounds of torque to a stud, without thread friction, torque energy stretches the stud in tension and tightens the joint. Threads that are dirty, painted, or damaged have lots of friction. Torque energy twists instead of stretches the stud. Very little energy goes to stretching the stud and the joint is loose. The engineer who specifies the amount of torque assumes a friction value for the threads. To make sure this value exists at the time of torque he may specify the type of thread lubricant to use while torquing the stud. To get the correct preload the threads should be clean, undamaged, and lubricated with the manufacturer's specified thread lubricant. Among lubricants that Lycoming specifies is 90% SAE 50W engine oil and 10% STP. Continental, for example, has in the past specified Oil Grade 50, MHS27 for cylinder studs and through-bolts.
Anyway this might help.