As long as the copper pipes are continuous, i.e. back to the incoming main ( it should be) they are earthed this route, hence the 16mm back to the main earth bar.
OK - Equipotential bonding requirements as follows - 16mm main earth should be installed to all incoming services where they enter the house, Gas, Water etc... from the main earth bar. Then all copper pipes just need cross bonding near taps and gas appliances. therefore, all you should do is fix...