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You'll do 1400 nm only sometimes in the winter. You'll have to be at 19,000ft, 55% or less and get a pretty good tailwind - 40-50 knots or more. It'll happen, but not every trip. I don't think you'll ever get 1400nm in the summer.
I've flown a 340 back and forth x-c many times and I'd prefer it over a P337 for that trip. As mentioned earlier, you'll have to have the 337 decked out to have the capability you want (radar, deice, the works) and you're not going to have much load left over.
For a 1000nm trip, I'd pick the P337 - you'll non-stop it often enough to make it faster than a 340. At 1400nm, I'd go back to the 340. You're going to be stopping most of the time anyway.
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