Vanderdeken's Children

The TARDIS is thrown off course by a 'vortex discontinuity'. They materialise in deep space, several hundred light years form Earth in the year 3123 A.D. The discover a derelict, cylinder like ship, over four-thousand meters in length.
There are two other ships in the area as well, from rival star-systems, the Emindarian passenger liner, Cirrandaria, and the Nimosian warship, Indomitable. Both ships claim they have the right to salvage the derelict.
Narrowly avoiding destruction by the Indomitable, the Doctor and Sam land on the Cirrandaria.
The Indomitable sends a technician in a pod down to the derelict to explore. The technician, after some examining, begins to think that the derelict was grown, not built. He loses contact with Indomitable, and comes to believe he is being followed by a creature. He attempts to escape by climbing up one of the pylons that ring both ends of the ship. He pictures the monsters from his childhood reaching up for him, lets go of the pylon and falls to his death.
The Cirrandaria sends its own expedition down to the derelict, including the Doctor and Sam, and all hell breaks loose...

• The Cloister Library - Vanderdeken's Children Archived 15 April 2016 at the Wayback Machine
• Vanderdeken's Children title listing at the Internet Speculative Fiction Database