With a 12/12 pitch roof the 2x6's should be plenty strong, especially if your rafters will go along the 14' (short) direction. For a normal gable roof the 7' rise and 7' run will require only 10' rafters (plus any overhang you need).

Are my assumptions correct or are you planning a shed type roof or other orientation?

Sounds like a fun project.
Dave

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