Sorry Sandro, much as I've tried to digitally enhance the photo, I cannot make out any of the detail on your barrel stamping except that there are 4 numeric digits over the bore gauge over some off center mark.
From the serial, you gun was around the 32,000th made in 1940. At a rate of 8,000 a month that would put manufacture some time in April, 1940. Starting in January at the rate of about 8,000 a month: 9,000 in the "y" block, 10,000 in the "z" block, 10,000 in the no suffix block, 3000 into the "a" block.
Sometimes the small asterisk was a rejection mark. Sometimes it is associated with Berlin. Sometimes with rework in the East after the war.
Sharp, detailed, well exposed photos taken in shaded sunlight will help.
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 Igitur si vis pacem, para bellum -
- Therefore if you want peace, prepare for war.
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