This article is based on the following link of which I’m really thanful:
https://paraaether.wordpress.com/2012/09/08/mount-exfat-filesystems-under-linux-mint-ubuntu/

Problem: Lately a new file system format meant for external flash-memory cards, Camera ssd cards and Smart phones is been develloped by Microsoft called ‘extFAT’. It allows to overcome the barrier of 4GB for single files and is more efficient for such large files. Windows 7 & 8.x are recognizing the format immediately but in Linux doesn’t automatically recognize it.

One solution:
In order to be able to mount such filesystem, here are some small steps that can be done under Ubuntu, Linux Mint and very likely Debian as as well.
sudo apt-get install subversion scons libfuse-dev gcc
cd ~
svn co http://exfat.googlecode.com/svn/trunk/ exfat_src
cd exfat_src
scons
sudo scons install
cd ..
rm –rf exfat_src
sudo mkdir [mountpoint]
sudo mount –t exfat-fuse [device_path] [mountpoint]

Example:
fdisk -l
Device Boot Start End Blocks Id System
/dev/sdd1 8192 62333951 31162880 c W95 FAT32 (LBA)
mkdir /media/extfat
mount -t exfat-fuse /dev/sdd1 /media/extfat

Note 1: For some strange reason although the directory name of the checked-out code in the original article is clearly indicating that the code allows to read-only, I could write into the flash card without any problem. It may be that the code has evolved since the original article was written.

Note 2: At the moment I haven’t found any way to integrate the auto-mounting of such filesystem in Linux Mint. I would appreciate some tips(as comment) in this area in case some of you did manage.