Can anyone please find one single datasheet of a flyback transformer?

Different flybacks will have different pinouts. If you have the board that the flyback came from, you may be able to determine many of the connections. One end of the primary would have been connected to the collector of the horizontal output transformer.

The other end of that winding would have been connected to the supply voltage (B+). One end of your high voltage secondary will be connected to the suction cup. The other end would have been grounded to the chassis.

You can use a meter and a power supply that is sufficient to overcome the voltage drop of any internal diodes to identify the connections. You can find more information in the links I've posted below. More.

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