Use a dictionary:
>>> lst = ['abcd1234','abcdabcd1234','gqweri7890','poiupoiupoiupoiu7890']
>>> d = {} # to keep the longest items for digits.
>>> for item in lst:
... key = item[-4:] # last 4 characters
... d[key] = max(d.get(key, ''), item, key=len)
...
>>> d.values() # list(d.values()) in Python 3.x
['abcdabcd1234', 'poiupoiupoiupoiu7890']