*Try using FOUR sticks in:
a) Dual, and
b) Triple
See your motherboard Manual (pg. 16).
If BOTH of these work, but all six sticks do NOT then the problem is Slot#5. If the Dual-Channel with four sticks passes the left four slots work. If the Triple-Channel with four sticks fails after the Dual-Channel passes the Slot#6 is defective (Slot#5 may be as well).
So again, if ALL the positions pass except with SIX sticks it's Slot#5 that is defective.
Make sense?
Regardless, it sounds like you may contact Gigabyte.