Luggage allowance on Turkish Airlines

I will be flying with Turkish Airlines in a couple-weeks' time from London via Istanbul to Tbilisi. When I booked the tickets on their website, there was a note to "check the baggage allowance information" with a corresponding link. Following that link, takes me to a page describing the allowance for various segments (it's not the same everywhere). According to that page, the allowance for my flight is 20 kg.

At the same time, if I view my e-ticket on their website (the ticket is all in Turkish, but it's quite obvious what to look for), the ticket states that the allowance is 30 kg.

Considering that I'll be flying with two small children (1-year old twins), 10 kg is a lot of a difference (just think of all the baby food, clothes, nappies, etc.)

I tried calling the airline to confirm what the allowance for my specific flight is, but all I got from them was "it's listed on our website, refer to it".

Can anyone confirm with any certainty whether the allowance is 20 kg or 30 kg?