Speed Triple R Front End Wobble

Hello folks,
Its been three weeks now as I own a Speed Triple R and start to know the bike better. So far I loved everything about the bike until todays ride home.
The front end wobbles on high speeds or when I push bike hard in a straight line. I tried different roads, released preasure from handle bars and let wheels to find it piste, applied more pressure to a front end but nothing solves the wobble unless I slow down and ease the throttle.
I newer experience that on sport bikes and start to think about aerodynamics of the bike or suspension settings. The bike has fully adjustable Öhlins front and back even with factory settings bike should run smoothly an any surface....or shouldn’t???
Has any of you experienced similar problems and fix the issue by adjusting suspension or the problem in something else?

Thanks

 

Thanks for advise chaps
I probably start with easiest things as tires pressure and balance also wheels alignment...
I am wearing Mitcheling Pilot road 4gt tyres i wonder if they are not compatible

 

Thats right, it happens when I pin it....but even overloading the front doesnt make it any better

 

When I got the bike it has nearly new fitted tyres, but scrolling through the history it hasnt been riddent for a few years, I believe it’s quite possible that after docking for a long time tyres misshaped, definitely will check

 

The list getting bigger and bigger will do mate thanks

 

The list getting bigger and bigger will do mate thanks

 

About 80kg dry weight with all the gear and helmet shouldnt be more than 90kg

 

Thanks Joe,
I bought the bike from Triumph dealer with 3 months warranty they also checked and serviced the bike before sale...obviously thinking about tits but no the job they were doing
Already checked the head bearing and it feels fine, no wheel weights been lost either. So it must be mishaped tyres or wheels alignment. I will speak with salesman tomorrow and ask for a full check. I believe dealer do it for free, especially if the bike still on warranty, but not sure if they could replace tyre free of charge

 

I was riding cbr600 before and had random wobble now and again on a high speeds and it was gone after second or less, but this one shows that something is definitely wrong

 

Sprinter,
Forgot to mention that I newer had to adjust suspention even been havier than the previous rider bu about 20kg

 

Ok,
Checked tyre preasure:
Front: 30psi which is 6 psi underinflated
Rear: 40psi which is 2psi underinflated

I would say preasure okish, but I will pump them up to 36/42