B&Q sell 6-8-10mm micro bore copper pipe for heating systems, check their web site http://www.diy.com
I have to admit though I’ve never seen cooling coils so thick, I’ve only seen them in 3mm copper and 4/5mm aluminium – for the smaller pipe try your local car scrap yard. Oil pressure gauges always used them on the older cars, just need a Little cleaning with hot water and washing up soap !
Cheers – Ken
ps – just checked B&Qs site and they are not listing 6mm – though they do sell it in the bigger stores, you may need to try a normal plumbers store.