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LMH6505: Noise during mid-range gain adjustment

Part Number: LMH6505
Other Parts Discussed in Thread: BUF634A

We're trying to add a LMH6505 to our photodiode detector to remotely control the gain, using a DAC as the control signal.  The peak voltage coming from the photodetector op amp is 1.35V, and we'd like to achieve a gain of 5x.  However, when I test the circuit, I see very noisy output in the middle of the gain range.  The extremes are OK, but the middle shows lots of noise in the Kilohertz range.  I added a capacitor to the Vg input and that helped some, but mid-range gain is still noisy.  Tried decreasing the 10u caps to 1u, but that was no help.

Is there anything I am overlooking or misinterpreting?  This is a 2 layer board, so no ground planes to be concerned about.