It's quite amazing to see so many 'views', on such a simple subject.
Old installation. Possibly undersized earthing conductor, possibly undersized bonding.
So, we get our Regs book out, and see what it says about Earthing Conductor size. So we look at 543.1.1.
Where we see we can either used the easy to read, idiot proof table for the size, or, we do a test measurement, then calculate the required size of conductor.
In 95%+ of installs, the size given in the table will be too big, but that is why it is there, it is to make it idiot proof, and errs on the side of safety.
So we have a 6mm bonding. OK, get GN8 out, and read about it in there (as well as more info on the earthing conductor).
Firstly colour - you can still use green if it is identified correctly .514.3.2
Size - GN8 , Page 58 on (last years GN8, not the new one). Identify if the cable will meet the requirements there, which in 99.9% of installs, it will.
So, 5 minutes of testing, calculations , inspection, and sleeving of green cable, then you are likely to not have to upgrade anything.
That'll save the Installer 1 hour+ of work, the householder a larger bill, and fully comply with the Regulations.
Short version of above - buy GN8, and read it thoroughly.