After a few tries to properly pause Youtube at the right time I've written down the Supremacy Virtue's:
1- : Explorer Units can build an additional Expedition.
3- : Road and ........ (Its starts with "Mag" but I can't it well enough) cost no Energy maintenance.
6- : Orbital coverage on and next to any tile with Firaxite.
8- : Four Firaxite resources for free.
11-: Sabotage Operation can be performed by Covert Agents.
13-: Emancipation Gate can be constructed for Emancipation Victory Quest.
So there seems to be a pattern for the last 4 Affinity tiers: 6 is an Orbital bonus, 8 gives four of the specific Affinity resource, 11 a certain operation by the Covert Agents and 13 is the Affinity Victory tier.