Effect of running cooling tower above design flow

I'm currently trying to find out how increased condenser flow, beyond design flow, over a cooling tower affects the supply temperature. Should the supply temperature be lowest at highest flow (higher than design, less than max) for a cooling tower? The tower we just had installed is operating at max flow, about 2000 gpm above design flow, but is not getting design approach.

Edit: I found my answer. I feel like maybe i didn't ask the question well. The new 2000 Ton tower was experiencing a 8 degree F approach where design was 5 degrees. I found from the document through some very small font that if the tower was operated at Max flow instead of Design flow the approach should be 7 degrees. So the tower is operating as it should and i get a higher approach with higher flow.

If anyone searches this topic, the tower is a 2000 ton counter flow tower. The tower is used for chillers and was doing a sanity check before i slowed my pumps down to try and get better chiller performance.