You could certainly make a lens-mount cone for an Omega DII, or D2 (same cones for both machines) with a cylindrical extension. I think that the taper of the original is to make it easier to shape in a forming die. The conical angle makes it easier to extract the part from the forming die in manufacture.
The outside diameter of the flange is, I think, designed to be 6.5”, although the sample I have measures 6.489”. The flats cut out of the flange leave it 5.75” wide for insertion/removal from the retainer. The OD of the wide base of the cone close to where it flares to become the flange is about 5.56”. So, if you make a cylindrical extension, it should be no larger in outside diameter than that to clear the spring plates of the retainer.
The thickness of the flange of the lens cone measures 0.098” thickness on my sample. Bear in mind that some of the thickness is that of the paint. The mounting holes, two for the lens disk and two for the filter-holder bracket are threaded for 6-32 Phillips-head cap screws 3/8” long.
The lens-disk mounting screws are 3.25” apart on a diameter line A. The filter-holder bracket screws lie on a line parallel to and 2.00” from line A. These two screws are 1.063” (1 and 1/16 inch) apart and are equidistant from the perpendicular bisector of line A. The flats cut into the flange are also parallel to line A.
If you want to layout the holes for the filter-holder bracket with a divider, they lie on a bolt-hole circle of 4.139” diameter or about 2.069” from the center (radial distance from the center of the mounting cone/plate to the centers of the screw holes for the filter hanger).
Although it’s possible to make your own, it usually easiest to keep checking eBay for the cone you want. I’d use a search string like “Omega D2 lens cone” or “Omega D2 lens mount.”
KHB Photographix has a good reference source for the components.
http://www.khbphotografix.com/omega/Enlargers/D2.htm
Be careful in buying used cones. The Automega D3 and D4 machines used similar-looking cones that are not compatible with Omega DII and D2 enlargers. Often, the sellers are not knowledgeable about what they have. I sometimes see “D2” cones for sale that are actually D3/D4 cones that won’t fit the DII and D2.
For example, here is an advertisement for a “D2” lens cone. Note the flat flange adjacent to the clearance flats and the short flat at the front and rear (obscured). This is a D3/D4 Automega cone.
https://www.ebay.com/itm/Omega-D2-L...820133?hash=item41e0f1d825:g:qBAAAOSwYtla5-Ot
The following shows the proper flange for the DII/D2 cone (best shown in the second photo).
https://www.ebay.com/i/143575709227...MI-rqO5f2_6gIVDNvACh0seQxYEAQYASABEgJIU_D_BwE