The largest standard Morse taper recognized is the #7 which is 3.270 at the gage line, 10" long and has a total taper of 0.624 per foot. Extrapolating the Morse taper characteristics in the tables, I'd surmise a #8 Morse taper would be 4" diameter at the gage line and be 12 3/4" long having a total taper of 5/8 per foot but THAT is a wild guess.
Are you sure it's a Morse taper in your spindle? Machine tool makers in the past have cooked up proprietary tapers based on the Morse, Jarno, 3/4" per foot etc series extending them to suit whatever large tapers they may have painted themselves into a design corner - then sell you a load of very expensive tooling to fit it.
Then again the maker may have specified a smaller than standard #7 Morse gage line. 80 mm on the spindle and 3.270 inches on the shank results in about 2" short fit - about the amount I'd want the spindle center gage line to extend into the chuck on a larger lathe. This puts the spindle center cone the right amount short of the chuck jaws tips for between-centers turning..
If it is an oddball, there are almost certainly no gages to be had. Have you checked it with a #7 Morse tooling shank or a gage? Here's a #7 Morse shell mill arbor for cheap on eBay:
MT7 Morse Taper with a Drill INV=1828 | eBay
At $70 to ship 35 - 40 lb isn't cheap for a one-time use. OTH you get a used-up shell mill you can blunt and polish for a paperweight
If it is an oddball, you're kinda stuck. While it's a huge PITA , I suggest you figure a way to accurately determine the taper and make accurately fitted male and female gages for your spindle.
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