Speed Triple 2011 Problem I Guess?

Hi fellow members, i bought a speed triple 2011 last august which is really well conserved for her age , now during the summer season the bike was fine but in the middle of September the idling started to play funny( the rpm goes higher and lower ) , the bike revs nicely no surges plenty of poke , went to triumph dealer and they told me it might be the valves soo they done the valves which were spotless and when they tried to do the throlle sincronization somehow they couldnt sincronize it properly soo i am guessing that be something to do with vacum leak? or injectors?
I will post a small video to show the issue.
If you guys could give me any tips would be very much appreciated.
Sorry for my terrible english
Regards
Miguel

 

Another thing i forgot to mention is the Bike was Dynoed long before i acquired her. The exhaust is sc project, the video url https://vimeo.com/user107466131/review/384568240/a79eea198b

 

I dont know if that is the cause the dyno was done 21/09/2018

 

Just uploaded it via youtube . The bike have 32 k miles , the mods : Belly pan, Seat Cowl, Rg Crash Protections , Sc Project carbon ( thats the only mod for performance ) the others are just for the comfort/look.
Hopefully this url will work

 

Yes it have an Sc Project Carbon Exhaust .

 

Thanks Joe i update the details you requested , thanks for your help .

 

Was literally 1 hour ago, the triumph dealership told me nothing wrong with it ( they did the valve clearance and throttle bodies the idlling went back to normal a couple of days and started to do the same again )they said it was wierd to do that odd iddling, i done service twice since i had the bike and they never told me i had a slipping camchain , they even done the pressure test on cylinders and all was fine. Should i ask them to do the camchain check?
Regards

 

Was literally 1 hour ago, the triumph dealership told me nothing wrong with it ( they did the valve clearance and throttle bodies the idlling went back to normal a couple of days and started to do the same again )they said it was wierd to do that odd iddling, i done service twice since i had the bike and they never told me i had a slipping camchain , they even done the pressure test on cylinders and all was fine. Should i ask them to do the camchain check?
Regards

 

Is that somehow connected to the fact they couldn't synchronize the throttle bodies, the bike has plenty of power never let me down, I use ride everyday

 

Joe the spark were changed too like 600 miles ago and according to the mechanic they were quite good , the compression is good on all cylinders they have tested it ( triumph dealer) and its all good .

 

Do you reckon its the map? I bought the tune ECU app and waiting for the obd2 to check if the airflow / hpa ? , i will have a look next Saturday regarding the air and fuel hoses, if the problem persists you reckon i should go to the dealer and ask for a remap?

 

Hello matey, soo i have bought and obd2 bluetooth and to my amazement the bodies are perfectly tuned 610hpa in all 3 cyls on idle ,the rpm while idling are 1290 (going up and down not a lot but unstable). Soo far i ticked some causes ( spark plugs are fine , throlle bodies are fine, might be the air filter? i bought a new one planning to get it today (KN AIR FILTER (TB-1011) FOR TRIUMPH SPEED TRIPLE, R, SPECIAL EDITION 2011 - 2013). One thing i remember is sometimes i smell fuel coming from the bike but that only happened like 3 times since i have her , might the fuel injectors aswell (the bike starts fine , and have great performance soo are the fuel injectors the culprits?).
Thanks for your help