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Eleven words carry D second and I third, and two of them are ways of saying goodbye.
One arrived from French and the other from Spanish, and both settled into English keeping their original spelling. They sit side by side in this group and part company from the fourth box on.
Neither is a word you could build from English roots, which is why they feel out of place beside EDITS and IDIOT.
IDIOT, IDIOM, EDITS and EDICT are the everyday members. EDIFY and ODIUM are recognisable, while ADITS, EDILE and ODIST stay specialist.
Both run IDIO and then split. With four letters confirmed you are choosing between T and M, and nothing else in the group gets in the way.
Eleven of the eleven do. A D at position two needs a vowel in front of it, and no consonant opening produces this pair at five letters.
A horizontal entrance driven into a mine. ADITS is the plural and it is the form that fits this pattern.
A Roman public official, more usually spelled aedile. Only the shorter spelling fits a five letter pattern.
EDITS ends in S, which three of these take, so it rules out more of the group. EDICT tests the C and T instead.