If you want to use this unit as your BOOT drive, then no, it cannot do that. To use an HDD over 2 TB to boot from, your mobo must have a feature called UEFI Support, and that mobo does not.
Now, if you only want to use that 6 Tb unit as a data drive (and boot from another HDD), your mobo is OK but you MUST have a recent version of Windows. Win 7 and 8 (and Vista, I believe) CAN use such large HDDs IF you make sure that you use the GPT system to Partition the unit. Do not use the older MBR-style Partitioning system - it is limited to using no more than 2 TB of any drive. IF you are using Win XP, however, ONLY the 64-bit version of Win XP has a device driver for HDD units with GPT Partitioning.