/usr/include/gstreamer-1.0/gst/base/ is in libgstreamer1.0-dev 1.2.4-0ubuntu1.1.
This file is owned by root:root, with mode 0o755.
..
/usr/include/gstreamer-1.0/gst/base/base.h
/usr/include/gstreamer-1.0/gst/base/gstadapter.h
/usr/include/gstreamer-1.0/gst/base/gstbaseparse.h
/usr/include/gstreamer-1.0/gst/base/gstbasesink.h
/usr/include/gstreamer-1.0/gst/base/gstbasesrc.h
/usr/include/gstreamer-1.0/gst/base/gstbasetransform.h
/usr/include/gstreamer-1.0/gst/base/gstbitreader.h
/usr/include/gstreamer-1.0/gst/base/gstbytereader.h
/usr/include/gstreamer-1.0/gst/base/gstbytewriter.h
/usr/include/gstreamer-1.0/gst/base/gstcollectpads.h
/usr/include/gstreamer-1.0/gst/base/gstdataqueue.h
/usr/include/gstreamer-1.0/gst/base/gstpushsrc.h
/usr/include/gstreamer-1.0/gst/base/gstqueuearray.h
/usr/include/gstreamer-1.0/gst/base/gsttypefindhelper.h