First things is to put a memory test on a booty able device. Then disconnect the HDD, boot the memory test. You want to test the memory without the HDD running.
To learn more about a bootable memory test, Google:
Bootable CD with Memtest86
Or,
click here With the huge memory you have, it may take awhile. Several hours.
If you get errors, try again with just two sticks of RAM.
Please come back are tell what you find.