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I have gone through all this once more. I have never seen obliteratus or incanus but it seems that obliteratus has mainly yellowish hairs on the upper part of the frons. If I am seeing correctly, this fly has mainly dark hairs on the upper part of the frons (Henrik, you can check this by yourself in the original pictures). If this is really so, it has to be incanus or elegans. It doesn't look at all like the elegans I am used to see. And legs seem to be pale, specially femora. It would take us to T. incanus. Moreover, obliteratus should have 'dark' femora (as in elegans), which are 'pale' in incanus.

Of course, I don't have material to compare. This is all I can help with this one. If I am correct reading the keys, this one should be T. incanus :)