Here's a price guide, on this variety . https://www.pcgs.com/coinfacts/coin/1964-d-50c-qdo-fs-105-013-6/145363
The one you have is a TDO . Yours comes with a cherrypicker number FS-105 (013.6) . The QDO in Pcgs page is another variety that Pcgs recognizes, for this year and mint mark . Here's the coin from the site your talking about . https://www.pcgs.com/coinfacts/coin/1964-d-50c-quadrupled-die-obverse/411631
There are several places that call the 64D DDO-005 a QDO, like the CPG and PCGS. Attached are some photos from my DDO-005 which is a VEDS, of the bottom left of the N in IN, and the bottom right of the Y in LIBERTY, which arguably could have a quad spread. These are the only two areas on the obverse that are not obviously a bold triple spread. I don't think there is enough there to prove the DDO-005 is a QDO. I think James Wiles is correct when he calls it a TDO on Variety Vista.
Wait at the bottom of the page, the cherrypicker number is the exact same as what you typed in. This is a 1964-D Kennedy half dollar.