@Crell There are 28 such dates every century:

2X03-04-05
2X03-05-04
2X04-03-05
2X04-05-03
2X05-03-04
2X05-04-03
2X05-12-13
2X06-08-10
2X06-10-08
2X08-06-10
2X08-10-06
2X09-12-15
2X10-06-08
2X10-08-06
2X12-05-13
2X12-09-15
2X13-05-12
2X13-12-05
2X15-08-17
2X15-09-12
2X15-12-09
2X16-12-20
2X17-08-15
2X20-12-16
2X24-07-25
2X24-10-26
2X25-07-24
2X26-10-24