Since that information is technically not canon (soft-canon at best), one generally refers to it instead as the "TMP Shuttle" Though I do like this information more, with the Warp Sled being more standard issue for shuttles of that type. Unfortunately canon named it as the "Surak craft" instead implying that it was a Vulcan ship. Uhura calls it a "Federation registered long-range shuttle" but it happens to have the Surak name (and we presume Vulcan lettering, though we see Vulcan writing far different in later Trek) on the portside pylon. I prefer to think that is just the name of the shuttle, like Gallileo or Copernicus. But that wouldn't be the first time canon actually got things wrong, or different as originally intended.