The Co-Op in Watling Street, Towcester, was broken into in the early hours of March 10.
The offenders forced their way into the shop at about 1am and tried to steal cigarettes but made off after being challenged by a security guard.
They were all white men, aged between 18 and 23 and wore dark-coloured hooded tops, with the hoods up.
Police would like to speak to anyone who may have witnessed this incident or who may have any information regarding it.
Witnesses or anyone with information is asked to contact police on 101 or Crimestoppers anonymously on 0800 555 111.