Since this was such a fun and refreshing turn from the normal topics, I decided to be a geek and look things up. According to
http://en.memory-alpha.wikia.com/wiki/Data, Data's total linear computational speed is 60 trillion operations per second. Unfortunately, that doesn't give us very much to go on at all. Who knows what an "operation" is in that context, or what linear computational speed means. If we take it as a sum total of his processing power and that each operation could feasibly be the production of a potential hash, then it would follow that Data could mine at 60TH/s.