By early 2368, Worf had been assigned to the Hegh'ta as tactical officer. During an engagement with two other enemy Birds-of-Prey, Kurn was able to elude and destroy both vessels by flying close to the surface of a star, then jumping to warp, triggering a solar flare which consumed both pursuing ships, (TNG: "Redemption", "Redemption II")
|22nd century:||Unnamed: Duras' • Malik's||Mid 23rd century:||Unnamed|
|IKS Buruk • IKS Ch'Tang • IKS Hegh'ta • IKS Ki'tang • IKS Koraga • IKS Korinar • IKS M'Char • IKS Malpara • IKS Ning'tao • IKS Orantho • IKS Pagh • IKS Rotarran • IKS Slivin • IKS Vorn • IKS Y'tem|
|Unnamed: Chang's • Duras sisters' • Japar's • K'Temang's • K'Vada's • Kang's • Klaa's • Kruge's ("HMS Bounty") • Lurin's|
Translated from the Klingon language, the ship's name means "everlasting death". There is also a location with the same name. The pronunciation for the name, according to the script for both episodes, was "heg-TA".  
The scenes aboard the Hegh'ta bridge were filmed on Paramount Stage 5 on Thursday 11 July 1991. The set was reused and previously used to portray Chang's Bird-of-Prey in Star Trek VI: The Undiscovered Country.
The Starships RPG sourcebook gives its registry as IKC-55342.
According to Star Trek: Star Charts (p. 65) and Stellar Cartography: The Starfleet Reference Library ("Federation Historical Highlights, 2161-2385"), there was a system named Hegh'ta, which might be the possible origin for the name of this starship, in the Beta Quadrant. The system's primary was a G-class star.