I'm afraid finding a static at that level, and especially if it's your first job to level, is gonna be hard. Statics usually agree on a certain time of day and what days in the week they meet up and pt... A few statics create their own LS too, just so they can post LS messages about changes, do other stuff like missions etc..
I finally got a static pt for one of my jobs now, after 1 year of playing :P For me, getting there was a bit random, as I just jumped into an existing 4-member static which included a friend of mine. Other times, members of an LS might decide to team up and make a static pt. Most often it's a bunch of people who already know eachother that team up though.
Another thing about statics is that a lot of them are static because they want to level as fast as possible, which is another reason why a new character MAY have a hard time getting one of THOSE statics (you still have to level up a subjob, get extra jobs and level them if needed, etc...)
In your situation, maybe try asking people you get along with from pickup parties (you'll need to seek first, of course ;) ) if they want to meet up again later for more exp.. Remember, a static doesn't need 6 members. If you have 3-4 people it's a lot easier picking up the last couple of members when you go (it's generally wise to include a couple of mages in your static so finding members will be quicker though).