I found a Kindle app version14.64.100(1.3.266069.0) which appears to be slightly newer than the one you have listed. I deleted the apk though after installing. I'll see if I can find it again. Everything else looks to be the same version that I have.
Here is the link if you want to update it or look into it.
Download Amazon Kindle.apk android apk files version 14.64.100(1.3.266049.0) Size is 116805565 md5 is c5cfba3e4551d9b152def47fe418199a By Amazon Mobile LLC This Version Need or higher, We Index Version From this file.Version code 1304986610 equal Version 14.64.100(1.3.266049.0) .You can...