It is a six-shot. The cellphone pic doesn't show it well, but there is a S&W logo just above the handle (it's faint, but definitely there). There are only four digits in the serial number.
It's definitely a 38 Military & Police.
The serial number should also be stamped on the underside of the barrel near the frame and on the back of the cylinder. See if those are also 26xx. If not, I have another theory.