14's the ignition system: Igniter, coil or ECU. It is possible to set this code by pop/push starting the car; Especially if it was already running (ie, the car dies while coasting and you dump the clutch to start it up again).
34 is abnormal turbo pressure... basically your airflow that being reported is WAY off... The lean and rich codes support the likely diagnosis of a crap tune and too much boost to safely operate.
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