Aveo 2006 1.6l code p0300,p0301,p0302,p0303,p0304,p0314 and the engine run good,and the engine light flashing all the time,clear code and comming back,,

SOURCE: P0300 code reading on Chevy aveo. Engine light

Pull out your spark plugs. Change them if dirty. There might be a problem with the fuel trim, thats causing spark plug to foul up prematurely. A stucked open EGR valve can also cause a multiple mispfire code(P0300) but then it would be accompanied by an EGR code(P402) which means excessive flow detected. Anyways if was indeed a fouled up spark plug change them as well as the air filter.

SOURCE: I have a 2002 Chevy

Basically this means that the the car's computer has detected that not all of the engine's cylinders are firing properly.
A P0300 diagnostic code indicates a random or multiple misfire. If the last digit is a number other than zero, it corresponds to the cylinder number that is misfiring. A P0302 code, for example, would tell you cylinder number two is misfiring. Unfortunately, a P0300 doesn't tell you specifically which cylinder(s) is/are mis-firing, nor why.

Symptoms may include:

• the engine may be harder to start
• the engine may stumble / stumble, and/or hesitate
• other symptoms may also be present

A code P0300 may mean that one or more of the following has happened:

• Faulty spark plugs or wires
• Faulty coil (pack)
• Faulty oxygen sensor(s)
• Faulty fuel injector(s)
• Burned exhaust valve
• Faulty catalytic convertor(s)
• Stuck/blocked EGR valve / passages
• Faulty camshaft position sensor
• Defective computer

Possible Solutions If there are no symptoms, the simplest thing to do is to reset the code and see if it comes back.
If there are symptoms such as the engine is stumbling or hesitating, check all wiring and connectors that lead to the cylinders (i.e. spark plugs). Depending on how long the ignition components have been in the car, it may be a good idea to replace them as part of your regular maintenance schedule. I would suggest spark plugs, spark plug wires, distributor cap, and rotor (if applicable). Otherwise, check the coils (a.k.a. coil packs). In some cases, the catalytic converter has gone bad. If you smell rotten eggs in the exhaust, your cat converter needs to be replaced. I've also heard in other cases the problems were faulty fuel injectors.
Random misfires that jump around from one cylinder to another (read: P030x codes) also will set a P0300 code. The underlying cause is often a lean fuel condition, which may be due to a vacuum leak in the intake manifold or unmetered air getting past the airflow sensor, or an EGR valve that is stuck open.

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SOURCE: code p0300 and p1406

P0300 is misfire and p1406 is EGR. It sounds like you have a chunk of carbon stuck in the EGR valve. Remove the valve and clean the carbon from the valve, bottom side. Then install a screened gasket so it won't happen again.

SOURCE: it'2004 aveo 1.6liter THROWING CODES P0700 TRANSMISSION CONTROL

change the crank sensor and do a crank relearn with a dignostic scaner.

SOURCE: Chevy aveo error codes. I have a check engine light on.code p2135

P2135 Throttle Position Sensor (TPS) Property Malfunction, remember this is not a car that is built by GM it is a Korean import.