TLDR: The picture shows an Airbus A340-300, either registration D-AIGH or D-AIGI, parked at gate B49 at Frankfurt airport.
From the general shape of the nose of the aircraft, and the fact that the airline is Lufthansa, it is clear that we are looking at either an Airbus A330 or an A340. It is parked at gate B49 (now renamed to B42) at Frankfurt airport.
In 2006, Lufthansa was operating 10 Airbus A330-300's, 20 A340-300's and 11 A340-600's . All the A330-200 and A340-200's were phased out before 2006.
From the window arrangement & count, we can see it can't be an A340-600; too few windows between door 1R and door 2R, and too many behind 2R and the first window gap.
In your first picture, despite the low resolution, it can be seen that the first two windows behind door 1R (first door on the right hand side of the aircraft) are plugged. It also seems that behind door 2R, two windows are plugged, and then six are transparent.
In 2006, all Lufthansa A330-300 had their first and third window on the right side plugged (this can be verified by looking at pictures from 2006/2007 of each Lufthansa A330-300 aircraft registered D-AIK[A-J] on plane photography websites. (Note that the A330's of Lufthansa were reconfigured at some point, and now they fly with the first two windows behind door 1R plugged. However in 2006 this was not yet the case.) Also the second window after door 2R was plugged. See picture below for example. This is not consistent with the observations in your picture, and hence I conclude we are looking at an A340-300.
Source: Airliners.net, photo copyright Florian Kondziela
But which A340-300...
Looking at some of the Lufthansa A340-300 fleet of the time, most aircraft had their first three windows on right side plugged, and not only the first two as in your picture. Nevertheless, if found six (registrations D-AIG[BCDFHI]) match the window arrangement of the aircraft in your picture.
The name, written below the aircraft type, on D-AIGB (Recklinghausen), D-AIGD (Remscheid) and D-AIDF (Göttingen) is too long to match your picture. D-AIGC was flying the Star alliance livery.
Thus remain registrations D-AIGH (Koblenz) or D-AIGI (Worms). I think your picture shows the latter.
Seen on the picture below is D-AIGI.
Source: Airliners.net, photo copyright Paul Robbins
I am confident your picture shows an A340-300.
The photo of the wing, added after this answer was created, shows an engine in the outbord position, confirming that the aircraft is indeed a four-engined A340 aircraft and not the two-engined A330. Another indicator is the fuel dump pipe sticking out of the pylon, which I think is standard on the A340, but optional on the A330 and not installed on Lufthansa's A330-300 fleet.