Hanukkah was (and still is) an 8 day holiday. So in 1967, it spanned all the days of the week plus an extra day.
Hanukkah can start on any day of the week except Tuesday.
It doesn't have a fixed day of the week. Rather, it has a fixed day of the month: it starts on the 25th of Kislev.
Sunday, December 22, 2008
July 2 1967 was a Sunday.
The Twenty-First Century - 1967 The Four-Day Week was released on: USA: 15 October 1967
7 January 1967 was a Saturday.
26 May 1967 was a Friday.
21 October 1967 was on a Saturday.
26 December 1967 was a Tuesday.
25 December 1967 was a Monday.
3 May 1967 was a Wednesday.
6 June 1967 was a Tuesday.