It is very difficult to find US HT chimney in 5" sizes........which may be why adapters are included on US models.
Way back when, I sold, used and installed many a foreign stove with 4.7 or 5" pipe - some of them were actually shipped with the piping. In the early days, Jotul did not even include the adapter - you had to buy it from a secondary source.
Even the larger Jotul 118 had a 4.7" flue.......
As an example, these brand were:
Jotul
Morso
Ulefos
Waterford
Trolla
Lange
Etc.
See enclosed for a LARGE Lange model with extensive baffle - that was UL approved and had a 5" flue.
Let me state it this way so it is clear - that cross section of chimney easily has the capacity to vent a small stove and clear a small door opening of smoke.
As one other example, MANY chimney sweeps and homeowners line chimneys with 5.5" flex liner because they cannot fit a full 6". For one thing, flex cuts down the draft quite a bit - and at the same time...even if it didn't, the cross section of that 5.5" liner is about 23.7 square inches.......
Whether the chimney will draw well is a whole 'nother story not related to this cross section. You need some height and as few turns or elbows as possible and a tight installation. My guess is that your estimate of 14 feet is low - because it would seem a chimney in the basement would have to be higher than that!
Here is a link for some rough chimney capacity tables....for boilers, in this case:
http://www.engineeringtoolbox.com/chimney-area-heat-load-d_1132.html
According to that table, a 23 sq in. chimney can take 78,000 BTUs. A small stove like a 602 commonly runs at 10-20,000 BTU, and could probably max at 40-50K (you would have to TRY to do this)....at which point it would probably be glowing!