(Corrects timing for FSD Beta launch in Europe from next year to this year in fourth paragraph in March 22 story)

By Victoria Waldersee and Nadine Schimroszik

GRUENHEIDE, Germany (Reuters) - Elon Musk was cheered as he oversaw the handover of Tesla's first German-made cars at its Gruenheide plant on Tuesday, marking the start of the U.S. automaker's inaugural European hub just two years after it was first announced.

Loud music played as 30 clients and their families got a first glimpse of their shining new vehicles through a glitzy, neon-lit Tesla branded tunnel, clapping and cheering as Tesla Chief Executive Musk danced and joked with fans.

"This is a great day for the factory," Musk said, describing it as "another step in the direction of a sustainable future".

Musk said that Tesla is likely to launch a test version of its new "Full Self-Driving" software in Europe later this year, depending on regulatory approval.

"It's quite difficult to do full self-driving in Europe," he told factory workers on Tuesday, saying much work needs to be done to handle tricky driving situations in Europe where roads vary a lot by country.

Although German Chancellor Olaf Scholz, who also attended the event, lauded the gigafactory as the future of the car industry, it has faced opposition and some environmental activists blocked the factory's entrance while displaying banners flagging its high water use.

Two protestors abseiled from a motorway sign near the factory, blocking traffic for hours after the event.

Musk had hoped to begin output from the factory eight months ago, but licensing delays and local concerns around the plant's environmental impact held up the process.

Tesla was forced to service European orders from Shanghai while it awaited its German licence, adding to rising logistics costs at a time when it was struggling with industry-wide chip shortages and other supply chain disruptions.

It got the final go-ahead from local authorities on March 4 to begin production in Germany, provided it met conditions ranging from its water use to air pollution controls.

The plant opening came on the same day as the top U.S. securities regulator urged a federal judge not to let Musk back out of an agreement requiring that his Twitter use be monitored.

Tesla shares ended up 7.9% at their highest level in more than two months on Tuesday.

RACE WITH VW

The new owners received the Model Y Performance configuration, a vehicle costing 63,990 euros ($70,500) with a 514 km (320 miles) range, Tesla said, adding that new orders from the plant could be delivered from April.