Well, I have been awarded the Tenacious badge an hour ago... But I don't think I actually deserve it (even though it's nice to get badges).
As I understand, I need more than 5 accepted answers with zero score. Fine, I have 6 of them. But it needs to represent more than 20% of my total answers, am I right? Well, I have a total of 97 answers which is much more than the 30 limit the math gives (unless I'm missing something).
Edit: Ok a comment explained it was 20% out of accepted answers. So first, I felt stupid. Then I counted, and I have 36 accepted answers. We got closer, but still not in specs, right?