diff --git a/PIL/TiffImagePlugin.py b/PIL/TiffImagePlugin.py
index 99beb0f97..670962e68 100644
--- a/PIL/TiffImagePlugin.py
+++ b/PIL/TiffImagePlugin.py
@@ -176,6 +176,10 @@ OPEN_INFO = {
     (II, 1, (1,), 1, (12,), ()): ("I;16", "I;12"),
 
     (II, 1, (1,), 1, (16,), ()): ("I;16", "I;16"),
+    (II, 1, (1,), 1, (16,16), (0,)): ("I;16", "I;16"),
+    (II, 1, (1,), 1, (16,16,16), (0,0,)): ("I;16", "I;16"),
+    (II, 1, (1,), 1, (16,16,16,16), (0,0,0,)): ("I;16", "I;16"),
+    (II, 1, (1,), 1, (16,16,16,16,16), (0,0,0,0,)): ("I;16", "I;16"),
     (MM, 1, (1,), 1, (16,), ()): ("I;16B", "I;16B"),
     (II, 1, (2,), 1, (16,), ()): ("I;16S", "I;16S"),
     (MM, 1, (2,), 1, (16,), ()): ("I;16BS", "I;16BS"),