Find 67th term of the sequence whose initial terms are as follows:

0th term: power of 3 in ${66 \choose 24}$
1st term: power of 2 in ${73 \choose 27}$
2nd term: power of 3 in ${3280 \choose 1367}$
3rd term: power of 2 in ${3712 \choose 2005}$
4th term: power of 2 in ${14348 \choose 7519}$
5th term: 16
6th term: 19