highest possible score in a match

Hey, how you doin' MathSoldier?

It's late...I'll give it a quick go:

There are 5 "4 player" combos:
abcd
abce
abde
acde
bcde

Because 6 different scores were given, then one is wrong.
We're asked for POSSIBLE highest score; so we assume the
lowest given of 130 is wrong...in order to leave highest POSSIBLE.

180+170+160+150+140 = 800
Each player is included 4 times: see above combos.
So the 5 players total is 800/4 = 200
Code: 
  a   b   c   d   e
 30  40  50  60     : 180 (since all 5 = 200, then e = 20)
 30  40  50      20 : 140
 30  40      60  20 : 150
 30      50  60  20 : 160
     40  50  60  20 : 170
Hmmm....all combined scores covered; so looks like 60 is highest...
BUT don't bet the farm on it: not sure if that's unique. G'nite.
 
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