The sort-code 30-96-96 exists, but does not apply to a standard branch of Lloyds TSB PLC. The code is used to transfer monies between other branches of Lloyds. There are however two different addresses given in relation to sort code 30-96-96.
However, the following address is also referred to under sort-code 30-96-96: 1-2 Market Place, Reading, Berkshire, RG1 2EQ.
Perhaps it would be best to telephone ahead to make sure you are dealing with the correct branch. The number for the Birmingham address: 0121 741 1380. The number for the Reading branch is 0845 300 0000.
If you're interested in Lloyds Bank, you may want to check out this clip about their recently created mobile app, which hopes to replace a lot of the services you would get in a physical branch of the bank: