I'd say about 12 inch for those little sprouts
How ever whilst using a HPS for this stage of growth can be done..... but we are missing a whole bunch load of fuzzyness !
What I may refer to as in the correct spectrum of light for vegging & flowering, Ah technical stuff..... I do hope I remember what I'm talking about, lolz
Vegging in short this includes sprouts but not the brussels kind, got it !
Lighting MH aka metal halide, CFL 6400k (kelvin) another measurement of light in the spectrum range, LED, T5 or 8 tubes same light spectrum, basically offer more blue light spectrum which is used whilst vegging & good for growth keeping plants more compact depending on genetics etc.
HPS for vegging you may expect lots of stretch with plants getting leggy etc this is partly down to light spectrum being in the red or around 2100k (kelvin) or just plain darn silly hanging height !
AKA light depreciates over distance = gets weaker - so ya gonna have to pay some attention to the chart above which is decades old & really not up to date but holds some valid facts.
HPS are in general around 2100 k (kelvin) the light spectrum basically peaks in the red which is good for flowering
Ye I know, you got some home work to do young padawan !
Good research when you find the time