I agree with all that is said already - yes home is the comfort zone where it's ok to let it all hang out, if it's a healthy home! I do have a possible approach, you might have tried it - we just don't react and the tantrums seem to dry up pretty quick. This works well when you know the child is: fed recently, slept ok, not sick, etc. so there should be no physical reason they are losing control.
(And I don't think it's gifted kids only, although I do think they tend to take tantrums to amazing heights!!)