Depending on the firmware loaded on the FD/RD (if you are buying second-hand) you can in theory run a hybrid 6770/6870 group as you would only need an 11 speed 6870 RD and could use either FD. After mid-2014 firmware means you need matchy FD/RD.
http://fitwerx.com/converting-shimano-ultegra-6770-di2-to-11-speed/
Ran this successfully for a couple of years.
@Alan_tbt started
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Depending on the firmware loaded on the FD/RD (if you are buying second-hand) you can in theory run a hybrid 6770/6870 group as you would only need an 11 speed 6870 RD and could use either FD. After mid-2014 firmware means you need matchy FD/RD.
http://fitwerx.com/converting-shimano-ultegra-6770-di2-to-11-speed/