The UE40K6379 has one of the thicker depths (89.1 millimeters) amongst televisions of this age. The thinnest depth of medium display diagonal TVs that have been available for a comparable time to this TV is 34mm, the thickest is 98mm, and the average depth is 71mm.
There are a number of other 89.1mm thick TVs currently available which you might want to look at including the Samsung UE40K6300 (£329) which has better reviews.
If you are not concerned about having a thicker depth then you might want to consider the Panasonic TX-40DSW404 (88mm).
What does "depth" mean?