Filed from 4 published puzzles

COTES

Set to 4 different clues across 4 published puzzles, most often “Small sheds” — The New York Times, Sunday, 10 April 2005.

5 letters

Every clue on record, most used first

Small shedsonce
The New York Times — Sunday, 10 April 2005
Pigeon sheltersonce
The New York Times — Thursday, 17 April 2003
Dove housesonce
The New York Times — Monday, 23 December 2002
Pigeon coopsonce
The New York Times — Wednesday, 16 August 1995