Sudden halt in the reproduction of files from the NAS.

I have a problem which is simple to describe: every time I reproduce a video file from a pc on my LAN, the reproduction stops at some random moment (always of order 15-20 minutes).
I have tried several sources (all Linux), like my laptop, my NAS, there is no change. All pcs host SAMBA shares, and Kodi accesses the content thru the Samba share.

Details are as follows:

1. link to debug log: https://app.box.com/s/9sfa2f8uhh1lpzn2n58o347vo95lb5tr

2. My system is constantly updated (daily):

Code:
# uname -a
Linux asusdb 4.6.0-0.bpo.1-amd64 #1 SMP Debian 4.6.4-1~bpo8+1 (2016-08-11) x86_64 GNU/Linux
root@asusdb:/etc/apt# cat /etc/debian_version
8.6
root@asusdb:/etc/apt# kodi -v
16.1 Debian package version: 16.1+dfsg1-2~bpo8+1 Media Center Kodi from Debian
Copyright (C) 2005-2013 Team Kodi from Debian - http://kodi.tv
root@asusdb:/etc/apt# inxi -F
System:    Host: asusdb Kernel: 4.6.0-0.bpo.1-amd64 x86_64 (64 bit) Desktop: N/A Distro: Debian GNU/Linux 8
Machine:   Mobo: ASUSTeK model: VC60 v: Rev X.0x serial: 0E03A0852100392
           Bios: American Megatrends v: 0901 date: 04/17/2014
CPU:       Dual core Intel Core i3-3110M (-HT-MCP-) cache: 3072 KB
           Clock Speeds: 1: 1284 MHz 2: 1714 MHz 3: 1200 MHz 4: 1294 MHz
Graphics:  Card: Intel 3rd Gen Core processor Graphics Controller
           Display Server: X.org 1.16.4 drivers: intel (unloaded: fbdev,vesa)
           tty size: 181x45 Advanced Data: N/A for root
Audio:     Card Intel 7 Series/C210 Series Family High Definition Audio Controller driver: snd_hda_intel
           Sound: Advanced Linux Sound Architecture v: k4.6.0-0.bpo.1-amd64
Network:   Card-1: Realtek RTL8111/8168/8411 PCI Express Gigabit Ethernet Controller driver: r8169
           IF: eth0 state: up speed: 1000 Mbps duplex: full mac: 10:c3:7b:9d:c8:78
           Card-2: Realtek RTL8821AE 802.11ac PCIe Wireless Network Adapter driver: rtl8821ae
           IF: wlan0 state: down mac: 54:27:1e:d2:d2:df
Drives:    HDD Total Size: 500.1GB (79.0% used) ID-1: /dev/sda model: ST500LT012 size: 500.1GB
Partition: ID-1: / size: 9.1G used: 8.4G (98%) fs: ext4 dev: /dev/sda1
           ID-2: /home size: 442G used: 353G (85%) fs: ext4 dev: /dev/sda6
           ID-3: swap-1 size: 8.39GB used: 0.00GB (0%) fs: swap dev: /dev/sda5
Sensors:   System Temperatures: cpu: 60.0C mobo: 27.8C
           Fan Speeds (in rpm): cpu: 0
Info:      Processes: 224 Uptime: 39 min Memory: 587.2/3863.8MB Client: Shell (bash) inxi: 2.1.28

3. Installed from: Debian repos.

Code:
# apt-cache show kodi
Package: kodi
Version: 16.1+dfsg1-2~bpo8+1
Installed-Size: 98
Maintainer: Debian Multimedia Maintainers <[email protected]>
Architecture: amd64
Replaces: xbmc (<< 2:13.2+dfsg1-5~)
Depends: kodi-bin (>= 16.1+dfsg1-2~bpo8+1), kodi-bin (<< 16.1+dfsg1-2~bpo8+1.1~), kodi-data
Recommends: kodi-visualization-spectrum
Breaks: xbmc (<< 2:13.2+dfsg1-5~)
Description-en: Open Source Home Theatre (executable binaries)
Kodi, formerly known as XBMC is an award winning free and
open source software media-player and entertainment hub for all your digital
media. Kodi is available for Linux, Mac OS X (Leopard, Tiger and Apple TV)
and Microsoft Windows, as well as the original Xbox game console. Created in
2003 by a group of like minded programmers, Kodi is a non-profit project run
and developed by volunteers located around the world. More than 50 software
developers have contributed to Kodi, and 100-plus translators have worked to
expand its reach, making it available in more than 30 languages.
.
While Kodi functions very well as a standard media player application for
your computer, it has been designed to be the perfect companion for your
HTPC. Supporting an almost endless range of remote controls, and combined
with its beautiful interface and powerful skinning engine, Kodi feels very
natural to use from the couch and is the ideal solution for your home
theater. Once installed, your computer will become a fully functional
multimedia jukebox.
.
This package contains the kodi binaries.
Description-md5: 8cbb7a58aa8f70442021b6474bb4487a
Homepage: http://kodi.tv/
Section: video
Priority: optional
Filename: pool/main/k/kodi/kodi_16.1+dfsg1-2~bpo8+1_amd64.deb
Size: 16216
MD5sum: 127438f0e58ba810b76ba6aa987041fe
SHA1: a334fcb79707d0a9aee28a1e178bf427e51230fb
SHA256: 8a0c234047f3772a2bcb0b9f3f86e9d68795a6cef0f93a67397483376cccd0fc

4. Git revision number: not available, substituted by Debian package version,
Version: 16.1+dfsg1-2~bpo8+1

5. Graphics info:
GPU: Mesa DRI Intel IvyBridge Mobile
Screen Resolution: 1920×1080@50Hz -Full Screen (my TV set)
OpenGL Vendor: Intel Open Source Technology center
OpenGL Version: 3.0 Mesa 10.3.2

6. There are no addons installed. I have changed the skin to Chorus, but, alas, it is not the problem.

7. How to reproduce the problem: choose a video file from one of the SMB folders (on different pcs in
the same LAN), start watching. The file format (avi, mp4, mkv,…) is irreleveant, because
reproduction halts after 15-20 minutes every time, i.e., no file can ever be
watched without interruptions.