151 bytes (including the ruby -e, down from 174.) Thanks!
142? Sorry if I broke anything, on phone.
Edit: DateTime.new(0) seems to work. 141.
127. Script never terminates, but it does display all possibilities, so I think it still passes!
Edit: 126. ruby -rdate -e'b=DateTime.new 0;loop{b+=1/86400r;puts b.strftime"%y-%m-%d %H:%M:%S"if(c=b.strftime"%y%m%d%H%M%S")==c.reverse}'
I think I'm done for the moment, will revisit tomorrow if you can find any further savings!
This should work for 134:
`ruby -r date -e '0.upto(4e9){b=DateTime.new(0)+_1/86400r;puts b.strftime"%y-%m-%d %H:%M:%S"if(c=b.strftime"%y%m%d%H%M%S")==c.reverse}'`
142? Sorry if I broke anything, on phone.