Your best bet is to apply for a family visit visa again but you should only apply when you have been back in Phils for at least six months. This will be the reason you were refused. If people were allowed to get family visit or visit visas as soon as their previous visa had expired and they had retuned back to Phils, then that would be like living in the UK and going home for a short vacation every six months.
If that was allowed, which it was at one time I believe, then it would be an obvious loophole for people who would like to live and work almost permanently in the UK to abuse.
If you managed to get a family visit visa before then it's quite likely that you get one again, but you must follow the rules, ie, don't apply for visas to stay here more than six months in any one year period.
Iain.