The Nike Run Club app does not allow you to export any of the runs you record. There are however a few techniques you can use to extract your data.
Nike has no official way to export data, but RunGap has found a way to
liberate your running history. It will cost $3.99.
n+exporter uses an extension to grab an authorization token from Nike+ and then uses it to export your data.
And it might just help you to become a better runner.