Large amount of fields causes tab functionality to break

We have a field group that has over 200+ fields in it (url's and link text where an author needed to add lots of additional links). The list became long enough that the horizontal-tab-hidden group was no longer hidden and in the way of all the other content on the page, making the page unusable. The CSS used in horizontal-tabs.css looks like:

.horizontal-tabs .horizontal-tab-hidden {
  display: block;
  position: absolute;
  top: -100000px;
  width: 100%;
}

which for most cases is far enough down the page to hide everything, however for very large sets of fields the top value should be increased.