search through each words in db and get ids, then in script sort the id by max matching word.

getMaxMatchedIds.py

def getMaxMatchedIds(rmc, words, md):
    matched_ids = []
    matched_id_words = {}
    for word in words:
        for id in md[word]:
            match_count = 1
            match_words = [word]
            if id not in matched_ids:
                for key in set(md) - set([word]):
                    if id in md[key]:
                        match_count += 1
                        match_words.append(key)
                if match_count>=rmc:
                    matched_ids.append(id)
                    matched_id_words[id] = match_words

    matched_ids = sorted(matched_ids, key=lambda x: len(matched_id_words[x]), reverse=True)
    return matched_ids

w = ['a', 'b', 'c', 'd']
mdict = {
  'a': [2,],
  'b': [3, 9, 11, 1],
  'c': [5, 1,3],
  'd': [13, 14, 8, 2,3],
}
rmcount = 7
print(getMaxMatchedIds(rmcount, w, mdict))

Hira bhai originally wrote the method.