This is what we're using to farm Barbican sites. 1 Claymore, 12 Phantasm, 2 Loki. 3 relic analyzer phantasms recommended, several painters.

Primary

FLEET pilots mainly
Claymore

[FL33T] 3X Claymore

1 Ship
Command Ship icon

[FL33T] 3X Claymore

FL33T

Command Ship

Phantasm

[FL33T] Barbican Phantasm

1 Ship
Cruiser icon

[FL33T] Barbican Phantasm

FL33T

Cruiser

Loki

[FL33T] Barbican Loki

1 Ship
Strategic Cruiser icon

[FL33T] Barbican Loki

FL33T

Strategic Cruiser