Yes 16 goals is a world record
OLYMPOS Xylofagou FC striker Panagiotis Pontikos scored sixteen goals to help his side beat SEK Ayios Athanasios FC 24-3 on the final day of the season.
A write up in the Guardian confirms that his feat is indeed a world record.Unfortunately he has not broken the record but merely equalled it. Stephan Staniso also scored 16 goals for his side Racing Club in a French Cup match against Aubry Asturies in December 1942.
There is also an interesting reference to a game in which 149 goals were scored because the players were angry with the referee and so kept kicking the ball into their own goal...!