What is average temperature at tdc direct injection diesel ( working temp )

What temperature? Intake air temperature? Coolant temperature? Or ... I suspect you mean the temperature inside the cylinder.

And with that ... Under what circumstances? At idle? Under load with the turbo generating rated boost pressure, and if so, WHAT is that rated boost pressure? What's the compression ratio of that specific engine? What's the injection timing - has combustion started before TDC (usually it has), and if so, how much fuel has been injected by that time (usually the injection period starts before TDC and extends after)? What's the temperature inside the intake manifold? Is EGR active and if so, how much?

I don't expect you to answer any of these. I wouldn't be able to give you an answer even if you could. My point is that your question is akin to "how long is a piece of rope".