Police said 16 men had been charged now with aggravated riot after the fight at the City nightclub on May 29.
Members of the public dobbed in the latest men to be arrested, police said.
Crime Gangs Task Force Detective Inspector Steve Taylor said the investigations were ongoing and he thanked the public for their help.
"The response from the public to help identify those involved in this crime has been overwhelming," Det-Insp Taylor said.
"More than 5,500 people have watched the clip on www.youtube.com/sapolicenews .
"I'd like to thank members of the public for their help."
Police released images of two men who are still wanted in connection to the fight.
"If anyone knows these men, or has information on where they may be located, please contact BankSA Crime Stoppers on 1800 333 000," he said.
"Violent bikie behaviour will not be tolerated."
The four arrested men have been released on strict bail conditions and will be jointly charged with the initial twelve arrests.