A 3 km Protection Zone and a 10 km Surveillance Zone have been put in place around the infected premises to limit the risk of the disease spreading.
The flock is estimated to contain approximately 35 birds. A number have died and the remaining live birds at the premises are being humanely culled.
A full investigation is under way to determine the source of the infection.
Keepers are urged to continue to be vigilant and look out for the signs of avian flu in their flocks, informing the Animal and Plant Health Agency should they suspect infection.
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