AudioControl's AVR-7 offers 11 processed channels - all with Dirac Live room correction - and 7 amplified channels.
To support a 7.1.4 configuration you'd add a four channel amplifier, such as the Parasound Z450, for the height channels.
This AVRs supports Dolby Atmos and DTS.X. All HDMI inputs and outputs are HDMI2.0 / HDCP2.2 with support for Dolby Vision. As with most AVRs, they have a wide selection of inputs and outputs that will handle most setups.
The AVR-7 delivers 100W per channel into 8 ohms. If you need more power, or have low sensitivity speakers, the AVR-9 adds more powerful amplifiers capable of 200W into 4 ohms.
Nyal Mellor, Founder, Acoustic Frontiers