Missing or breaking down at 7000 rpm once warmed up

Could be bad ignition module as they have a low rpm section and a high rpm section. Low side may be failing as it heats up. Hard to test for this as parts store testers may not see the problem.

when did you get the mapping tuned and what system did they use? some map equipment only stores data to 6000 RPM, and then it goes south from there.

Sounds to me like you have a bad air mass meter or bad map sensor.

check all terminals esp of rectifier, put a volt meter across battery does voltage go down below 12v when you rev the bike. sounds like a rectifier problem if works sometimes and other times not, had similar on a gpz600r. cleaned all terminals and its fine now. this cure is only for if the bike is ok at times. if its like it all the time then its could be other faults. let me know..

sounds like a typical ignition coil break down. when they go bad they act up when they get hot. very easy to replace. it is what the plug wires come from.

sounds like a faulty secondary air system or cannister fault.
Check the air cannister and/or charcoal cannister for damage.
Check for damaged or burst air hoses.

Definitely carb problems. Dieaphrams need to be checked and the carbs need to be synced.

ummm not to sure on the tach but im pretty sure the spark plugs can cause this the wrong type when they get hot they maybe breaking down try a different hea range and get back to me

The idler air control is not working like it should. try tapping on it with a screw driver lightly this should kinda fix the problem while u are tapping. This will need to be replaced if it starts agian after u stop tapping.

Check your injectors man... Sounds like you have a nasty clog... Other than that the only thing I can guess would have to do with this would be check the fuel lines the spark plugs and fuel pump... If nothing is wrong your best bet would be getting it to a shop...