I was thinking of Blackfriars and had forgotten Holborn viaduct. CEPs definitely went there so it's actually seven for some units albeit the set number will have changed in some cases. 1533/1539/1555/1562/1578/1697/1698/1699 have done six and no doubt went to Holborn Viaduct too.The six (for CEPs) must be: Charing Cross, Victoria, Waterloo, Cannon Street, London Bridge, Holborn Viaduct. I know CEPs worked out of the first 5 of these, not sure about Holborn. Both VEPs and EPBs would have matched that, as they certainly worked out of HV. I'd guess SUBs too, and likely HAPs.
Dragging this back on topic, most of the phase one 317s will have done six termini but there's no definitive list of which ones went to Fenchurch Street. I can personally account for 29 of them.
Add Blackfriars so that makes in eight.2-EPBs worked out of seven London terminals as they also briefly worked out of Broad Street.