Hi Kurrup,
It's difficult to say with any accuracy "how much" light they should be getting beyond the minimum. Many strains are more heat-resistant than the next, to, so one may do better than another.
All those contributing factors tend to lead growers to not use HID's at all for seedlings. I didn't for a long time and spent a good chunk of cash on a germing tent etc... only to find later on that my seedlings seem to be able to handle the HID's.
As Mr M says.. there's a sweet spot between the light being too close and too far away. Too close = oven time.. too far = stretching. For me that distance is *
roughly* 36" with a 600w MH bulb, but I really don't know for sure if that IS the sweet spot, or just an 'OK' spot.
That aside.. if it's a pure HPS bulb, one thing worth bearing in mind is that some growers (not all) notice some plant health problems under pure HPS bulbs due to the lack of blue spectrum in it (they need that for vegging mostly). Some others do perfectly well with them start>finish so it's not like they can't be grown under pure HPS.. cos they can and are. It's just something to add to your list of possible contributors if you get any early problems. Lack of blue spec also increases stretching according to the science books but, again, you'll find many growers who say that simply isn't the case in their grooms.
The other main consideration is that if they're in small pots they'll dry-out very quickly under a HID, and I've seen (and been the victim of) younglings being baked in a matter of hours sometimes, so it's good to keep on top of that.
There is a school-of-thought (even scientifically supported) that says that HID's are too light-intensive for younglings and can damage their stomates on the leaves.. but personally I've not noticed that if it's the case or not because mine seem to do pretty well under HID's. I can't really get my head around it because seedlings manage perfectly well in bright sunlight so common-sense says they'll be ok under a HID in that respect.