The raiders were caught on camera entering neighbouring villas, and were arrested days later after the raid last month.
Burglars made off with their 15-year-old daughter Willow's watch, as well as cash from the handbags of guests who had been at a 1920s-themed cocktail party.
Other Riviera villas in the area have also experienced gas raids in recent months.
Mindy added: 'You have got to have some kind of confidence to do that and to be quite satisfied that people aren't going to wake up.
'That morning I slept in until eight. I didn't even wake to Richard's snoring! Nobody woke up.'
Hammond was forced to deny his £2million Herefordshire castle had been burgled earlier this year after widespread reports claimed it had been ransacked by thieves.
Initial reports claimed the luxurious property was the victim of a 'James Bond-style' break-in.
But the TV presenter rubbished them, saying that 'nobody broke in and nothing was stolen'.
Writing on social media, he said: 'Hello, I would very much like to thank the press for letting me know this morning that my house has been burgled, ransacked even.
'The thing is, I'd never have known because nothing has been taken and nobody has broken in. I know it's terrifying. What is it when there's a burglary where nobody breaks in and nothing is stolen?'
The Herefordshire castle is thought to be 'as secure as Fort Knox', boasting extensive security, including ten foot iron gates, a high-tech alarm system and a protective fort.
It was there that Hammond stayed when recovering from his near-fatal crash in Switzerland in 2017.