WOW that really messes everything up....
I just jotted down some flights.
FCO-IST-GRU (less then 24h in IST so no stopover)
go south / est.
SCL-GRU
go up / north
other internal flights (not RTW)...
____
YYZ-YVR-HNL (less then 24h in YVR)
hawaii
HNL-AKL
other internal fights (not RTW)
SYD-SIN-NRT (less than 24h in SIN)
around japan
NRT-BKK
thailand
BKK-FCO
This would be a total of 10 segments (so thats good)
there are a few "real" stopovers
GRU 1st time, GRU 2nd time, HNL (3rd), AKL (4th), NRT (5th), BKK (6th).
But if we count the "open jaws" they come out to
GRU(1), SCL(2), GRU(3), YYZ(4), HNL(5), AKL(6), SYD(7), NRT(8), BKK(9)
to bring it "down" to 7 i would have to cut the SCL-GRU flight.