↓のように辞書配列を用いれば出来ますよ。
Set dictData = Server.CreateObject("Scripting.Dictionary")
Randomize
do while dictData.count <> 14
index=Int((14) * Rnd) + 1
if Not dictData.Exists(index) Then dictData.Add index,strName(index)
loop
akeys = dictData.keys
for i = 0 to dictData.count - 1
Response.Write dictData.item(akeys(i)) & <BR>
Next