Weather update: just got the letter for visa extension from The Honorary Consulate of the Republic of Lithuania.
First, I've messaged Ministry of Foreign Affairs of Lithuania and they had NO CLUE about any of this. What a shame.
I've emailed the Consulate directly and they've sent me a letter straight away - great service.
Now the question: Couple of days ago I've extended my visa exemption for another 30 days(a normal, 1st extension). Can I go and extend it again immediately for +30 days?