'tenchi' apparently is a kata that was created in the 70's by Meitoku Yagi in order to introduce students to goju's standard kaishu kata. other kata were added during the 80's and 90's. I've never heard of these till now. It's a different timeline of Meibukan. Anthony Mirakian learned the Goju kaishu kata curriculum from Yagi in the 50's and 60's...and as far as I know, didn't teach the 'newer' kata. I could be wrong on that.
What is considered the 'standard' syllabus of Goju are the kata as follows (the order in which they are taught vary between schools):
Sanchin & Tensho
the general movements/embusen are similar between major Goju schools, but influence, emphasis, execution speed and interpretation vary widely. You could have one Goju school teaching kata with stylized form competition in mind, which generally is more popular with the Japanese versions of Goju...and then have another school teaching with a heavy influence of the Chinese Art aspect of forms - which is most likely the type of forms taught by Higaonna to Miyagi, Mabuni and Juhatsu Kyoda.
It's all 'real' Goju. Just depends what you want it to do and then find someone who teaches it that way.
The one thing all of the major schools don't dispute is that Miyagi himself taught all of the kata that I listed (but it's questionable if he taught any ONE person all of them). what IS disputed is which of those kata were taught to him by Higaonna...although Sanchin and Seisan are not disputed.
It's a complicated mess with so many variants, that I wouldn't even attempt to say which are 'more' goju than another.
sorry I couldn't help more...