Find Smallest X Value For A Group Ignoring Zeros

I have a trivial, hopefully, issue: I need to find several smallest data points for a certain group of values. I got an array formula, but I'm having a bit of a hard time making it ignore zero values completely. Here's the formula:

=SMALL(IF($A$2:$A$14=$A$14,$B$2:$B$14),1)
$A$2:$A$14 - column with group values
$B$2:$B$14 - where data points are stored
$A$14 - a name of a group

It's giving me zero values if there are any in the data, and I'd like to start with the smallest above-zero values.

Any ideas, guys/gals? Thanks so much in advance!

Sample file is attached as well.