From you update it does sound like a short circuit and maybe even an open circuit in the ignition feed to the indicators.
With the ignition on do you have a 12v feed down the black wire to the indicator stalk?
With the ignition on do you have a 12v feed to fuse's 11,12 & 13?
With fuse's 11,12 & 13 removed and the ignition on you should only have a 12v feed at one side of the fuse?
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when you flash main beam it blows no 16 fuse and the drivers side headlight stays on permanently whether ignition on or off......
According to my diagram fuse 16 is for the wipers, this sounds like a short
indicators still dont work - have you got a 12v feed down the black wire to the indicator stalk with the ignition on (position 2)
fuse 13 is for indicators and reversing lights. the fuse has been removed and the reverse lights still work
This also sounds like a short,with the fuse removed the reverse lights should not come on, something is feeding into the black/brown wire (if they come on when put into reverse) or the black wire if they are permantly on when in neutral.