if the phrase contained 12 random words, the phrase would have 132 bits of security, so the actual security of a 12-word BIP39 mnemonic phrase is 128 bits as regards a Bitcoin private key security too. That's why some experts consider using only 12 words.
A bitcoin private key is 256 bits, to make up that bit you would need about 24 words to equal that and that's why some experts also consider to use 24.
So either 12 or 24, they all same bit of security as Bitcoin private key which is 128.
If you read this thread https://bitcointalksearch.org/topic/trezor-12-or-24-word-recovery-5205380, you will get some answers about 12/24 seed phrase security. Even if someone knows the 6 words of your phrase they will only end up importing a different wallet unless they have full access of your whole phrase.