I know Blockchair.com can export searches, but I can't find the link.
Here's the closest search you can do with Blockchair based on the data OP has provided:
https://blockchair.com/bitcoin/transactions?q=time(2013-10-20..2013-10-30)%2Cinput_total(400000000)
Still returns 622 transactions, which is probably far more than he was hoping for. It's not possible Blockchair to specify that a receiving address must be unused. The best way of narrowing it down from here would be for OP to know how many inputs and outputs were in the transaction.