Looking at the vase again this morning in the light of a new day, I was reminded that often people seem to mistake the B on Stromberg vases for numbers. For example, I checked current eBay listings and this happened with item 360024667756. So on the piece you mention , if the "16" at the beginning is a "B" (and I've seen it before) it would be a vase from the mid to late fifties. That's as accurate as you can get with the Stromberg system. It's tough enough identifying when you have the right numbers!
What made me think again on the piece, besides the possibility of error reading the numbers, was the thickness of glass, the hint of blue at the top right (despite the brown background), and the nice work on the engraving. The numbering doesn't conform to Orrefors system, either, BTW. I wonder if anybody with a copy of Ricke's "Swedish Glass Factories" or lots of Strombergshyttan glass would recognize it?
Sorry, I don't seem to be helping too much.