IMHO 5 to 7 min is pretty fast for a GI animation with 50 lights, You can try lowering the subdivisions on the shadows a bit also if you are using area shadows it will render quite a bit faster with normal vray shadows. Or you can even try it with shadow maps.
Or if you can calculate the GI without them, atfter that you can use them for the final animation using the irradiance map from file, but to calculate the irradiance map… its a lot of lights
Just a though,…If you have the idea of the lights shape, you can model it and use this as the main light, applying a self-illumination material to the object and then hide it from the camara. This should produce fast renderings, and after you have the final irradiance map you can turn on the photometric lights.
If you’re just looking for a good image, aesthetically, another technique might be to set up lights as if it were a photo shoot (three point lighting, VRayLights for softboxes or whatever). Use this to calculate the GI then render with the “house lights” for the final.
Just a thought… ignore if you need accurate lighting.