Bitcore - The Core Values
I know it's not on the list but this one is pretty cool and simple. It can even be simplified further to:
Bitcore - Core Value
I think this is a good start. Though it needs something else.
Bitcore - Core Values ___ ____
Bitcore is not just core values but 'moving forward'. It has bigger blocks, the lightening network, etc.
So maybe 'Bitcore - Core Values Moving Forward' or 'Bitcore - Core Values, Lightening Speeds'. Or 'Bitcore - Core Values Next Generation'
Branding is very important. 'Core Values' just isn't catchy enough to be a good branding slogan but is better than anything on that joke list.