Just indications on what you could do, @luser

makegifs.py

#!/usr/bin/env python
# Taken from http://zulko.github.io/blog/2015/02/01/extracting-perfectly-looping-gifs-from-videos-with-python-and-moviepy/

import os
import sys

import moviepy.editor as mp
from moviepy.video.tools.cuts import FramesMatches

if len(sys.argv) != 2:
    print "makegifs.py <video file>"
    sys.exit(1)

clip = mp.VideoFileClip(sys.argv[1])
name = os.path.splitext(os.path.basename(sys.argv[1]))[0]

# Comment after first use
scenes = FramesMatches.from_clip(clip.resize(width=120), 5, 3) # I increase 2 to 3 to get more gifs
scenes.save("matches")

# load the scenes from a previous time to avoid recomputing them
scenes.load("matches")

"""
That's the hard part that you must tweak. Not that the whole method is
very sloppy so maybe you can just redefine/customize this function if
you have the time

The last number "0.5" says that you want at least 0.5 second between the start of each clip.
If you really want to avoid having multiple times the same scene with just a few different frames,
increase this to e.g. 1.5
"""
selected_scenes = scenes.select_scenes(2, 0.5, 4, 0.5)
os.mkdir(name) # <- well done, otherwise you get a Seg Fault (this is going to be fixed)
selected_scenes.write_gifs(clip.resize(width=270), name)

I tried to change

selected_scenes.write_gifs(clip.resize(width=270), name)

Into

selected_scenes.write_videofile(clip, name)

An error happen:

Traceback (most recent call last):
  File "C:\Users\pnesi\Videos\Output\makegifs.py", line 35, in <module>
    selected_scenes.write_videofile(clip, name) # save gif as it, without resize
AttributeError: 'FramesMatches' object has no attribute 'write_videofile'

Expectation: write the scenes as video (muted is ok) instead gif.

What should I do?

Dec, 2022 update:
I managed to accomplish my objection. The customization can be found on fork by me.