Problems like this can take a while to sort-out. Here's may take .....
The fact that you can see the Emley Moor tower from your home suggests that perhaps you're getting too much signal -- too much signal can cause the same sort of break-up problems as too little. Signal/quality strength meters in DTVs and boxes are just a guide -- without using proper testing equipment you don't have any real idea what your kit is seeing.
If it were me, I'd try the following.
-- Have you any other kit looped in the aerial chain, like a PVR? If so, do things get better if it's removed? (If you do have something in chain, also disconnect any cables like scart, HDMI, to make sure that the isolation is complete.)
-- Insert a 3 or 6dB attenuator (or better, a variable unit) between the aerial lead and TV, to reduce the signal levels. If you're close to the TX 12dB might be a better bet for a fixed attenuator, but you can daisy-chain them (so a 3+6 = 9dB attenuation). Does the break-up reduce/stop?
-- The choice of downlead is a little odd, IMHO. I've always used CT100-type cable, not RG6. It probably doesn't have much of a bearing in isolation though, but I'd replace it. It could be that you have a break in the cable shielding somewhere. A continuity tester is your friend.
-- Use a mains surge protector/filter, just in case you're picking-up odd interference from something in your house. It's doubtful that this is the cause, but it certainly won't do any harm (other than to your wallet, perhaps!).
-- Try fitting ferrite chokes to the aerial cable and mains lead of the TV. These are the type that clamp round cables. The likes of Maplins sell them. I've used these successfully in the past to sort-out an interference problem with a VCR.
-- Use a Freeview STB/PVR connected to the TV and try that, both without and with attenuation (if you see break-up). If that proves trouble-free then I'd start to suspect the TV.
-- Do confirm that you are getting broadcasts from Emley and not somewhere else. Use sites like ukfree.tv to double-check.
-- Take your TV to a friend's house -- someone who doesn't have problems with reception. If the TV checks-out OK, and none of the suggestions above has helped then you might want to call on the services of a professional aerial installer, or go for Freesat!
My money (were I a betting man) is on too much signal. I've seen this many times before. Do bear in mind that break-up and glitches do occur, even when everything is set-up correctly. TBH, this is the sort of thing that drives me nuts, but thus far with a bit of patience I've usually managed to sort things out, or reach a reasonable compromise. Of course, you could use this as an excuse to buy a new TV .....
HTH
Good luck.
Clem