The ModelerJoe kit list lists just two 'plastic' model kits of the DKM Atlantis; one referenced by the Captain by Aurora, and a 1:700 scale resin kit by HP models of Germany. ModelerJoe lists the Aurora kit as 1:410 scale and a product of the late '50s. Since you are talking about a 'heavy' model and which is twice as long as the Aurora, it is likely not a commercial plastic kit. The reviews on ModelerJoe say that the kit, while excellent for its day, was a blank canvas for adding detail.
The model may be totally scratch built, possibly on a solid wooden core. Magazines from the late-40s through the 50's, in the genre of Popular Mechanics, would carry detailed plans for craftsmen to build model from. Ship model craftsmen would commonly use the 1/16 scale for larger subjects. And to tweek the Captain's number just a bit, 1/16 scales to 1:192 (16x12).