the consonant pop quiz

so in fun german class today we were busy conjugating verbs when someone asks why one word is pronounced with a long 'i' (which is actually 'e' in german) and one is short. she writes the word on the wall and says "because there are 3 consonants in a row" and then someone asks about a different verb, which is pronounced a different way but with 4 consonants in a row and she says "that is exception." and someone pointed out that everything in german is an exception.
some of the the words we were going over were treffen (to meet) and nehmen (to take). when conjugated they are
du triffst
and
du nimmst.

and it got me thinking - holy crap. four is a lot of consonants in a row. and yet, i'm sure there are other words in german where there are more consonants in a row. so, my question to you, what word has the most consonants in a row in your language?

i'm thinking of candy for english - except in that case, is the 'y' a vowel or a consonant (a, e, i, o, u and sometimes y)...?