The 16 incidents took place between 26 August and 15 September, Lincolnshire Police say.
Police have warned residents to be extra vigilant after a series of burglaries and car thefts.
Lincolnshire Police said a 38-year-old man had been arrested on suspicion of burglary by officers investigating the spate of offences.Car keys were targeted in 14 of the burglaries, with eight cars stolen, including two taken from a single address.
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