I know this falls under the category of obvious advice, but if running is your current priority and weight training comes second, organize your weekly workout schedule so that you are freshest for running. So, if you run and lift on the same day, put the lifting after the running, rather than vice versa. Or, make sure you run the day after a rest day, when you're freshest, and put the weight training toward the end of the period of back-to-back training days.
In terms of how to design a lifting program that will improve your running, I'd be inclined to snoop around the websites of Runners World, or other similar places, for ideas. But, because this is Teh Internet and inexpert advice abounds, I'll offer some too.
My first instinct -- as a non-runner -- is that you'd want to focus your weight training on strengthening (a) your core and lower back; (b) the rest of the upper body; and (c) your legs, in decreasing order of priority. So, I'd probably keep the leg work relatively minimal -- e.g., higher rep sets only, or heavy low-rep sets only once a week. You might also choose exercises that emphasize balance -- e.g., one-legged squats, split squats, lunges, etc. -- as opposed to brute strength (e.g., leg press).
But, I could be completely full of it.
//b. strong,
Kim