The Ref 10 and Ref 10 Phono of mid and recent vintage use the Sovtek 6550WE. This tube is reliable, pretty straightforward sonics and available on today's market.
The two Ref 10 units originally came with and were voiced with the SED Winged-C 6550C. ARC discontinued using those because they went out of production. They are no longer readily available but you still will find them on offer occasionally. I've used both ARC units for a while now and imo the SED Winged-C 6550C is the best sounding tube for those components.
You will likely hear from people telling you to try various other 6550s, such as the GE 6550A or Tungsol 6550. The Tungsol are modern reissues and not equivalent to the nearly unobtanium Tungsol Black Plates of yore The GE 6550A worked fine in Conrad-Johnson amplifiers but is too warm and soft for the Audio Research gear and ARC doesn't like seeing that tube in their linestages because they believe it degrades the sound. I would stick with the 6550WE. Use matched pairs in the power supply.
The 6H30P that comes with the Ref 10s is the Sovtek 6H30P. The 'Gold' Electro-Harmoix version is a relabeled Sovtek with gold (colored?) pins. I'm not a fan of E-H tubes as I find them inconsistent in quality, but in principle you'll get the same result from E-H as Sovtek.
For some time now there is on-going talk of the 6H30DR which was the ruggedized military version of the tube and popularized by Viktor Khomenko for use in his BAT electronics. As far as I know all 6H30s come out of the same factory in Russia.
At one time the 6H30DR was available and relatively inexpensive. Many people found it to have slightly superior sonics. The last of the DR were brought from Russia to No.America a few years back by Eugene Conus of Conus Audio. They are no longer available from tube stores but individuals occasionally may have some on offer. The early price was $15-$35 and now they are closer to $300 each. I've used full sets of these in both my Ref 10s and thought they gave some small improvement, but at current prices (if you can find 9 of them) the value, imo, is not there. You should know there are numerous counterfeit 6H30DRs on the market. Check
this article on how to tell originals.
My suggestion is first to enjoy the sound of the Ref 10 with stock tubes before trying alternatives. Acquire a set of stock tubes as a backup.