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The first point to note is that the LΓΆwe was actually a destroyer, not a torpedo boat. She was originally a Sleipner-class destroyer, HNoMS Gyller, captured by Germany in 1940, and renamed LΓΆwe.
The Germans renamed captured small destroyers, like the the Norwegian Sleipner-class, and large torpedo boats 'Torpedoboot Ausland' when they were incorporated into the Kriegsmarine.
However regular German torpedo boats, built after 1935, were simply given a designation 'T' followed by a number (like, for example, T21 - the torpedo boat that rescued survivors from the Wilhelm Gustloff).
The other escort vessel was also not actually a torpedo boat, but the Torpedo Recovery Boat ('Torpedofangboote') TF1.
The TF1 reported that a weld had burst open in heavy seas and returned to port with the Hansa [M/S Wilhelm Gustloff Final Voyage: Survivor, Missing, & Dead Lists, originally published in Die Gustloff Katastrophe by Heinz SchΓΆn].