You probably need a NAS. To store 10TB securely you are looking at a bill of materials of about ~1200usd. This includes a NAS from synology and 3 6TD Western Digital Red drives. This will give you 12TB of storage space running in a RAID5 configuration.
Synology DS416 NAS diskless: 365USD WD Red 6TB: 253USD (x3) Total: 1124
For a little more you could pick up a HP Microserver for just under 400USD and run ZFS on a pool with SMBD and get about the same results but with more hands on fun.
Alternatively, just aim your requirements a bit lower (e.g. only 6TB) and pick up a 2 disk nas and 2 drives running as a mirror and it will be much cheaper (~700-800USD).
Resources: http://www.raid-calculator.com/default.aspx