271 but sacrifizing the nice underscores in the output:
sub t{(sprintf('%04b',@_)=~tr/01/ w/r)&'bcgw'}sub p{printf"%s%8s$/",
t(15-$_),t$_ for@_;print$/}sub r{my($s,$h,%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
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