The Tollan Stargate was a custom-made Stargate on the planet Tollana, built by the Nox and Tollans. (SG1: "The DVD Collection 19") The Tollan gate was smaller and slimmer than the Stargates built by the Ancients, and was pale white in color. However, it seems to lack a DHD, or even an inner track for manual dialing, suggesting a DHD was in a nearby control center or building.
After their original homeworld was destroyed, the Tollans were left without a Stargate. With the help of the Tau'ri, the Tollan refugees that had been stranded and dying on their former homeworld, attempting to destroy the Stargate, were able to contact the Nox who gave them shelter until a way was devised to get the refugees to the new Tollan world of Tollana, which the rest of the Tollan population was already on. After settling on Tollana, they decided to build their own Stargate with the help of the Nox. (SG1: "Pretense")
Later, when the Tollan were under attack from an emissary of Anubis, the Stargate became buried to the point that Narim believed it to be destroyed. (SG1: "Between Two Fires") (RPG: "Living Gods: Stargate System Lords")