What are the normal levels for t4 where you are (I only ask as they are different according to where the are sent/measured)? And what were you most recent blood results? Have they checked you again after the increase in dose?
Where I am the "normal" range is 12-21.
If I measure at 16 I feel awful. Tired, Still have heavy periods. Weight increases. Some GPs just see the "within range" number and will right you off as sorted. I pushed for more as I still had the symptoms.
On 18.5 and over I feel great. Normal. Periods are better, I am less tired. Weight maintains - though I can lose it too (have to work at it - but at least it shifts iyswim).
Find your levels from your GP surgery/recent tests and unless it is over the top (say for me that would be 21 or over) then you can push for at least trying a higher dose.
Oh and for future blood tests do not take your levothyroxine on the morning of the test - take it after the bloods have been taken.
And also, you do not have to go up by a whole tablet per day - it is perfectly OK to suggest to the GP you increase by say 25mcg every other day or every 3rd day.
Don't let this pass - you can feel better. You can feel normal with an underactive thyroid, I promise.