Serial number and year identification, from the PRS Support website. The bolded stuff is right at the top of the page, so if you skip straight to the CE section you will miss it:
All guitars and basses have serial numbers which start with a year prefix. The prefix is the last one or two digits of the production year, and it applies to all models below.
CE Models
Approximate Serial Numbers Year
7 0001 – 0270 1988
7 0271 – 1830 1989
7 1831 – 3200 1990
7 3201 – 4540 1991
7 4541 – 7090 1992
7 7091 – 8820 1993
7 8821 – 10700 1994
7 10701 – 13000 1995
7 13001 – 14680 1996
7 14681 – 17130 1997
7 or CE 17131 – 19580 1998
CE 19581 – 20749 1999
CE 20750 – 21599 2000
CE 21600 – 23199 2001
CE 23200 – 25389 2002
CE 25390 – 26399 2003
CE 26400 – 27900 2004
CE 27901 – 29377 2005
CE 29378 - 31800 2006
CE 31801 - 32783 2007
CE 32784 - 33881 2008
So your number breaks down as 6 7 14298
6 = 1996
7 = a CE model
14298 = right in the range for 1996: 13001 – 14680
As I said, if you don't notice the statement at the very top of the PRS page, you think the CE serial numbers don't have a year prefix and should start with 7 or CE.