1 too many segments there

If you don't mind some surface segments... 32 countries with 16 segments

europe:
gb,se,fi,gr,tk,jo,sd,lb,az,uz
man-(arn)-hel (BA)
hel-(ath)-ist (AY)
lhr-(amm)-krt (BA)
krt-(bey)-lhr (BA)
lhr-(bak)-tas (BA)

asia:
id,th,hk,sg,lk,tw,jp,ca,us
bom-(bkk)-hkg (CX)
hkg-(sin)-cmb (CX)
cgk-(sin)-hkg (CX)
hkg-(tpe)-nrt (CX)
hkg-(yvr)-jfk (CX)

north amercia:
pr,vc,bb,lc,ag
sju-(ciw)-bgi (AA)
uvf-(anu)-lhr (BA)

south america:
pe,cl,ar,ve,bo,ec,py,br
lax-(lim-scl)-eze (LA)
eze-(scl)-ccs (LA)
bog-(gye)-scl (LA)
asu-(gru)-mia (AA)