263 with some more micro-optimization (hey, that's what I do...):

sub t{sprintf('%04b',@_)=~y/01/ w/r& bcgw}sub p{printf"%s%8s$/",t(15-$
+_),t$_ for@_;print$/}sub r{my($h,$s,%s)=@_;($s^15||p@$h)|r([@$h,$_],$
+_,$_,1,%s)for grep!$s{$_}&!($s&8&&~$s&$_&7)&!(~$s&8&&$s&~$_&7)&&($z=$
+s^$_)&8&&(($z&=7)<3|$z==4),15,grep$_%3,1..14}r[0],0,0,1
[download]

Tricks: (1) grep with brackets usually costs an extra character; (2) barewords don't need quotes; (3) play with -- nay, mercilessly abuse! -- precedence; (4) spelling y/// as tr/// makes Baby Jesus cry.

I wonder if one of Ton's magic formulae could be applied? (See Golf: Magic Formula for Roman Numerals.)

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