6 gear transmission on 1.6 ( BSE )

Now I discovered in the forum the analog to my gearbox (JHT) which has installed 1.6 FSI the following 6 gears: HBM , DVV and JHY My question to the inclined readership: Is it possible to operate a 6 gears on my BSE from a 1.6 FSI?? ( The first 5 gears are identical with both , only the 6 is then longer ) Would not like to turn my gas engine over 4000 ( 5 gears => 130 km/h ) as 5 + E Move me mainly in the North German low plain. Thank you for your contributions.