Bitminter now supports Bech32 addresses. So you can cash out to native segwit addresses - those are the addresses starting with "bc1" as specified by BIP-173.
Note that many services don't support Bech32 yet. It's especially annoying that some block explorers don't appear to be able to look them up yet. But I'm sure this will change soon.
If you are using Bitcoin Core then you need to upgrade to version 0.16.0 to get Bech32 support.
More about Bech32:
https://github.com/bitcoin/bips/blob/master/bip-0173.mediawikihttps://en.bitcoin.it/wiki/Bech32_adoption