The original helmet still exists today and can be seen at the Tokugawa Art Museum in Nagoya, but you can understand how unusual this headgear was by looking at these life-size cardboard cutouts, photographed in front of the Kumamoto Castle.
The Kato Kiyomasa armor is the one on the right side of the photo, and the extremely long helmet was inspired by eboshi, a type of stiff black silk cap worn by samurai at formal events. Its unusual size was meant to indicate that the wearer was a very high status samurai...
EXIF info:
Nikon Df
Lens: 24-70mm F/2.8G
Focal Length: 24mm
Aperture: F/7.1
Shutter Speed: 1/640s
ISO Sensitivity: ISO 640