• how long has it been growing in the tank?
• how old is your tank?
• what are your latest nitrate and phosphate readings?
• have you tried reducing your tank's photoperiod / reducing tank feedings?
• is it smothering any corals?
• do you have snails / hermit crabs in your tank?
Those look to be clove polyps or some type of xenia (Types of coral)
I think you have a very healthy colony if thats indeed what it is. Ive had pulsing xenia take over a nano tank before. It can happen.