Question: Optimal solution for schedule?

Hello

Following on from my earlier question:

https://www.mapleprimes.com/questions/239620-Round-Robin-With-Double-Bye

a colleague has produced (admittedly hurriedly) a sports schedule over 14 weeks for a 8-team double bye, and a 10-team over 15 weeks. 
Looking at it, and counting the possible combinations, neither seem optimal...

The 8 team has equal byes, the 10 uneven.

Edit. Ideally no team would have 2 byes in a row. 

Is there a solution in maple over these weeks? given the min duration would be 13 weeks and the max 15 weeks?
In the previous solution by mmcdara the 8 bye schedule each team has played 6 times after week 8, but since the roster is truncated to 14 or 15, there will be some weeks when no byes are required (all teams playing) to even things up.
Similarly, the 10 bye each team has played 8 times after week 10, but since the roster is truncated to 14 or 15, there will be some weeks when no byes are required.

Any help would be welcome!
double_bye.xls

Edit: I made some counting errors. It's 28 and 45 as Carl pointed out
double_bye_revised.xls