Yes 200w MH do exist, they're one of the several odd-wattages that Venture Lighting rolled out in the early 2000's. They're pulse start (ANSI code is M136), and yes, they do also exist in medium E26 base...
https://www.1000bulbs.com/product/137196/MH-1669F.html?gclid=CjwKCAjwh9_bBRA_EiwApObaOEQl0CenpDswD31oCEKtfMrbC3_3htH4v4nBUjnDWMoDjO6BO8iUtRoCtQMQAvD_BwEVenture lighting went through a brief period in the late 90's/early 2000's of developing several new pulse start MH wattages including, 135w, 200w, 310w, 320w, 360w, 450w, 575w, 750w, and 960w just to name a few. The ballasts for some of these wattages are no longer in production as Venture is now focusing entirely on LED