the only time's i have ever gotten HQ 3 and HQ 4 was on lightning day as alc64.6... fire x1 rabbit hide x1 bone chip x2 distilled water x1 hope this helps...
Mystery Tours says it has a HQ from 2-4. I'll test it soon cause i need the Glue for some recipes. My Alchemy is capped at level 60 so i should be able to get a HQ here and there. If it's true you can make good profit with it or save alot of money cause the price for a stack of Glue is currently 12k in Windurst on Odin.
I am HQ these as I type this. I haven't got 4 yet, but 2-3 blocks of glue seems to be what I get most of the time. I made 2 stacks of glue from a stack of materials, which is basically a free stack on my server.
its 2005 now and as most all items have gone up due to inflation of too many damn gils in the game, it now starts at about 15k a stack. on catsith server
When your are higher lvl alchemy this is useful to make for profit. Bone chips are ~96 gil at the boneworkers guild and rabbit hides are easy to farm or buy. Right now stacks of animal glue are selling in windy for 6k (Seraph) so you can get a profit out of this, especially since this is a useful product it sells pretty well (within 1 day for me).