If there is indeed a short-circuited tantalum capacitor on your 5162 motherboard, then the motherboard will overload the power supply, resulting in the power supply shutting down, the power supply providing no +5V/-5V/+12V/-12V output. But sometimes, an underload (which includes no load) will result in no +5V/-5V/+12V/-12V volts.
Is it the case, that with your 5162 motherboard connected to a known good power supply, the +5V line does not measure about +5V ?
If you do measure about +5V, there is no short-circuit tantalum capacitor.
If instead you measure 0V (with only the 5162 motherboard connected to the known good power supply), then we need to work out why.
When i measure the motherboard alone, ...
I know that you used the word "alone", but to be sure, note that the power supply must NOT be connected to the motherboard when you measure the +5V rail of the motherboard.
... with continuity between power connector +5v and to ground i get a continius tone like there is a short
The purpose of the continuity setting on your multimeter is not to alert you to the presence of a short-circuit. Instead, you should be using the resistance setting.
The resistance of the +5V rail on a 5162 motherboard will vary from motherboard to motherboard, and you may even get a different reading each time that you measure it, but it will probably be in the order of a few hundred ohms (based on what I measure on a good 5170 motherboard of mine). If instead, you measure between 0 and a few ohms on the +5V rail of your 5162 motherboard (power supply not connected), then that would indicate a short circuit.