In the end, it does not matter what you call it. I guess if I had to put a name on it I would call it a long calendar straddle.
It's called a diagonal or calendar. Calendars have same strike price different maturity. Diagonals both are different. However, for both strategies, both options need to be a call or a put. The example you provided is nothing, if you have a call expiring this week and a put expiring next month, it's just 2 options. But if both are puts or calls, that would be calendar or diagonal if they have the same strike price or not. no strangles can't have different maturities. If they did, one option would just expire in or out of money, leaving you with the longer option which is just a regular direction trade until you close it.
My strategy is this one: Disaster! I mostly trade floptions -like options but typicaly a f***** loser. Nah, just kidding. There used to be a long list of recognised strategies but I lost that too!