This seems amazingly simple to me.
Don't go on about it to him, don't "gently encourage him" (with parents theres no such thing, kids see straight through it!), just mention to him, ONCE:
You did really well on that run we went on! If you want to continue running it could help your fitness and speed for football (I sexistly assume he likes/plays football like every other teenage boy I know), it'll help you get a great body AND you might meet some hot girls if you join a running club".
Then LEAVE IT. Covers the most important things to boys
1) Being better than other boys at something
2) Being sexy
3) Hot girls/hot boys (whichever way he's inclined).
If he still isn't interested, he isn't interested. Accept it!