What integration test framework has the best docker support?

We need integration testing framework - pass a url pass requests to that url and get responses and evaluate repsonses.

Requirements:

1. We want a tool that can easily implement into a CICD pipeline like Jenkins/hudson
2. Not to heavy of a footprint
3. Ease of writing tests
4. love to be able to give a docker image and some files however the tests are built and integrate that

Need to be able to do insertions if they return data or not Support decent sized files