BTW I have some lap times, though not really worthy.
Quoting Alistair Weaver, the FN2 did 9min45 around the Nordschleife in the kinda wet, performed by Jenson Button on his first trial laps on the 'Ring. Can't find the video on youtube but it's on the hondaracingf1 site (though hard to find).
Then there's the full lap, but it's raining like hell on the Green Hell... so he admits himself not pushing it. plus there's a passenger, and he's not really pushing himself neither, they're chatting all the time. What's more there's another car at some point and the lap is not really a full one so I assume that's not a closed-track session.
"full" lap video:
the one where Alistair quotes the time sits in between.