Back in 2005 it was $100,000 pesos. Today the requirement is $200,000 pesos.
Or you could apply directly to Premier in the United States. You will have to keep $100,000 USD to qualify in the USA. The Premier account is a worldwide system, though, so if you qualify in one country you don't have to maintain the minimum balance in all the other countries.
HSBC Premier is actually pretty good for retail banking since they give you an account exec who will respond to you by e-mail, etc. Mostly I use mine to help navigate the bank's own internal bureaucracy.
Back in the day where you could actually wire transfer funds and get dollars, they would do a special deal for Premier clients where they would repurchase the dollars you wired in from your Premier account in the USA and the wires were free of charge. No wires fee in the US and no wire fee in Argentina. That was before the exchange controls, though.
Today I can't think of any good reason to keep pesos in an Argentine bank. They'd need to pay out 40% per year just to get me to think about it.