I'm in agreement with Scrit that this is a very large piece to turn and it might pay to find an alternative to turning them.
If you do decide to go ahead and turn them, I'd expect you might find vibrations of the workpiece a real problem due to the flexibility of the wood, especially when you're working so far from the chuck/faceplate. A 3-point steady (something like
this but obviously scaled up) might help.
As to the lathe, you'd certainly need an industrially sized machine. If you're looking to buy new I have, as a hobbyist, been very happy with my
Vicmarc; the short bed VL300 would allow you to work the size you quoted over the inboard bed, giving the advantage of letting you support the work with the tailstock while working on the outside, which should reduce chatter. These machines seem well engineered and well thought out. However, I doubt any of the professional lathes available in this size range would let you down.
On the secondhand front, I'm not sure whether a Graduate would suffice,
L. R. E. Machinery should be able to advise. Any of the large, old British made machines should be a safe bet so long as it's been well looked after and doesn't have broken/missing castings.
Before investing the sums of money that these machines (especially the new ones) command, why not see if there is anyone in your locality who has a big lathe and would let you try making a prototype to get a feel for how challenging it might be? Local turning clubs or machinery dealers may help out in that respect.