There are several different crashes, many different crashes indicate in my experience hardware problems but seeing a driver often returning lets see if it helps if we try to handle this driver.
This is the driver I'm talking about, the Realtek LAN driver. Where exactly did you get this driver from? The version isn't the same as from ASUS support page.
From the support page
The installed version
||9.91 MBytesupdate 2015/08/07
Name  Realtek PCIe GBE Family Controller
Driver c:\windows\system32\drivers\rt640x64.sys (10.3.723.2015, 867.25 KB (888,064 bytes))
1: kd> lmvm rt640x64
Browse full module list
start end module name
fffff801`e9c10000 fffff801`e9cea000 rt640x64 (deferred)
Image path: \SystemRoot\System32\drivers\rt640x64.sys
Image name: rt640x64.sys
Browse all global symbols functions data
Timestamp: Thu Jul 23 10:53:50 2015 (55B0AB9E)
Translations: 0000.04b0 0000.04e4 0409.04b0 0409.04e4