I've got the same delivery date 4-10 October. time stamp 16 minutes. Seems like no matter when you order it now you get that same range which is irritating. anyone who orded during the first 20 miutes was just battling Apple's app.
I ordered at about 3:10am EST using the Apple Store app, I have a estimated delivery time of Sept 27-29th, still in processing. I have the T-mobile variant.