A high TSH is indicative of hypothyroidism - either untreated or under-treated.
A very low TSH is indicative of hyperthyroidism.
In order to feel well you need to take enough levothyroxine (or other hormones like T3 or NDT) to get your TSH down to 1 or under. Some people even need enough to get it under the reference range.
You are on a high dose of Levo but you seem to not be absorbing it. Your body is not making use of it. There can be lots of reasons why this might be the case.
SlowDragon has given the conditions for taking Levo to get best absorption in her earlier post.
However, even if you follow those suggestions some people still don't do well.
1) You might not be absorbing the Levo (T4). Do you take lots of antacids? Or do you take PPIs like Omeprazole or Lansoprazole? They may be sold under the brand names Prilosec or Nexium or Losec. People are often prescribed PPIs for gastro-esophageal reflux disease (GERD). For most people they are the worst thing they can take. GERD is usually caused by too low stomach acid, not too much. If that doesn't make sense to you, and is relevant to you, then I can give you links to explain it.
2) There are lots of brands of Levo available. Assuming you are from the USA, you have a fair number of choices - about 6 or 8 I believe. Synthroid is the one that many people want but it is no better than any of the others - it just has a bigger advertising budget. helvella knows more about USA Levothyroxine brands than I do. If you don't get on well with one brand then try another one. They all have the same active ingredient, but they don't all have the same fillers. And it may be the fillers which are preventing you from absorbing the Levo.
3) You might not be able to absorb levothyroxine at all. Some people do better with NDT = Natural Desiccated Thyroid. It was the thing that hypothyroidism was treated with before Levothyroxine was invented. NDT has the active ingredients T4 and T3, which are derived from animal thyroids - I think USA brands of NDT are always made from pig thyroid. There are several brands that people in the USA may be familiar with - Armour Thyroid, Naturethroid, WP Thyroid, NP Thyroid. I'm not sure if there are any others. Erfa is distributed across Canada. Some people in the USA may buy thyroid products made outside North America (Thailand sells three products), but I'm not sure of the legality of importing Thai NDT into the USA.
4) There is another option - T3. It can be taken alone or it can be taken in combination with levo. T4 is a storage hormone. It has no activity of its own. In order to do anything useful in the body it has to be converted into T3 which is the active hormone.