The two men bragged about what they were doing on Instagram.
Police Chief Faces Investigation
An allegation of misconduct is being investigated against Sussex police force's chief constable by the Independent Police Complaints Commission.
Sussex Police Authority (SPA) voluntarily referred the allegation against Martin Richards to the IPCC last month.
Details of the incident have not been released by Sussex Police but it is believed Mr Richards is being investigated over allegations he used "undue influence'' on a force operation, according to the Brighton Argus newspaper.
The complaint was made about him by a member of staff using the force's anonymous internal reporting system, the paper said.
A Sussex Police spokeswoman said that given the seniority of the office of Chief Constable Sussex Police believes it is paramount that any allegations about him are subject to the independent scrutiny of the IPCC in order to maintain the public's confidence in the outcome of any investigation.
She said: "We cannot disclose the nature of the allegations at this time, however, due to the risk of an impact on an on-going operational matter.
"We will provide more details when there is no longer a potential impact on operational matters or when the IPCC concludes their investigation.''
She said the force welcomed their scrutiny and would provide any support required to the investigation.
Mr Richards said: "Given the senior position I hold and the trust placed in me by the people of Sussex and my colleagues, it is absolutely right that the Sussex Police Authority has voluntarily referred this matter to the IPCC for independent scrutiny. I will cooperate fully with the investigation to help them establish the facts.
"With trust in the police at the forefront of ongoing legitimate public interest nationally, I am mindful of the need to conduct my duties with the utmost integrity and an expectation of scrutiny.
"This is a view shared across the force and we have recently updated all our policies in this area to underline this commitment.
"While the IPCC investigation is ongoing it will be business as usual. There will be no impact on the service provided to the public or the delivery of operational policing, which is our foremost priority.''
Sussex Police said the decision to investigate Mr Richards is a neutral act and does not indicate an assumption of wrong-doing.
The spokeswoman added: "While the investigation is under way and until the facts are established, there should be no assumption of impropriety or speculation on the outcome of the investigation.
"The SPA and the force strongly support transparency and public scrutiny. It is our usual policy to be as transparent as possible where there are allegations of misconduct and we announce involvement in IPCC investigations proactively whenever possible.''
12 year old punched in face several times
Xmas warning over button batteries
Man pulls gun on staff at Sainsbury's supermarket, Peacehaven
Recently Played Tracks
Deposit £10 to get a £40 Welcome Bonus - That's £50 to play bingo, slots and more!*
Over 50 tracks to make you feel-good. New album out now...
Find your local four day weather report here.
What's happening on the roads where you are?
Make Heart the soundtrack to your day and you could be a winner with great prizes up for grabs throughout the day.
Find out more about some of the companies advertising on Heart 102.4 and 103.5
Get some great ideas on how to advertise your business on radio, online and on mobile.