My design is based on the reference (TPS65130 page 11, with specific changes for +-15V listed on page 12). Layout is consistent with TI guidelines for this part.
Note that I had to combine the feedback resistors to achieve the proper values.
Building two identical boards I see the same strange issue on the -15V side (+15 regulates perfectly). Here's a scope shot of the issue, viewed at OUTN:
Very slow oscillation. At the moment, I'm befuddled.
Any ideas from TI or others?