My wife is covered under my family plan HDHP, all year 2014-present. TT is asking me what type of HDHP my wife had on 12/1/16. Family, self, none. not sure how to answer

Should I select 'Family' since it's under mine? Or does that selection imply she has her own family plan?  If I select Family, TT then tells me they see a break in spouse coverage and wants me to answer why. There is no break in coverage as far as I know