I think you're mixing up terminology.
The very first block in the blockchain is called the "genesis block". It's block reward cannot be spent. It's the block at height 0.
The transaction fee is the fee you pay based on the size (in bytes, or vbytes) of your transaction (so the value transmitted does not matter for the fee). It's an incentive you give to the miners to add your transaction to the block they're working on.
Where you go the "base" keyword, i have no idea... Maybe from the term coinbase? The coinbase transaction is the first transaction in each block, it's the transaction that pays the miner both the block reward and the sum of all the fees of all the transactions in the block the miner solved... It's a special kind of transaction since it doesn't really have inputs like all the other transactions (since the coinbase transaction actually generates "new" funds into circulation, and gets the fees of all the transactions aswell)
Topic: Is there such a thing as Bitcoin Base Transaction Fee? - page 2. (Read 243 times)
What is the Base Transaction Fee for Bitcoin? The original fee programmed? Does anyone know?
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