A patent showing an optical formula for a 16-130mm f/3.5-6.3 lens has appeared. Judging by the image height at the wide end (13mm), this lens is likely for a fixed lens APS-C PowerShot camera and not a DSLR or EOS M camera.
Focal Length 15.51 45.00 130.98
F-Number 3.68 5.03 6.50
Image Height 13.00 13.66 13.66
BF 12.76 23.92 35.17