Hello Alton , I had a chance to look in the kaj Franck book "the art of glass kaj Franck 100 years" when I was in Finland this summer.
I think your vase maybe KF304 although the book gives a height of 312 mm and the production run was from 1966 to 1968.
There is a similar looking vase KF298 but this vase has been surface ground on the outside and is marked K Franck with a date on the base.
Neither of these vases seem to carry a name.
Hope this is of some use.
Tim.