The CLK DTM AMG Coupe is among the most coveted models Mercedes-Benz’s elite AMG division has ever created.

Unveiled in 2004, just 100 were produced to celebrate the German automaker’s victory in the 2003 Deutsche Tourenwagen Masters (DTM) Championship.

HWA AG, the firm responsible for the racecar that AMG works driver Berd Schneider took to victory in 2003, built the limited run of roadgoing coupes under AMG’s supervision.

Following in the footsteps of the heralded CLK GTR from the late-Nineties and with DTM racing pedigree unmistakably evident inside and out, these super coupes are highly prized for their rarity and superlative engineering—so much so that racing greats Jenson Button, Kimi Räikkönen, and Takuma Sato reportedly were among the lucky few who managed to acquire one before they quickly sold out.

Formidable though the championship-winning competition CLK DTM was, the roadgoing CLK DTM AMG exceeded its performance in some ways.

Whereas the DTM track cars were limited by...