Question 2 - num of bits in output

we have been given 6 bits for the ouput in question 2. ive implementd my circuit and it seems like it works as intended but i think 6 bits are not enough for the maxium amount of prizes in a matrix of 4X4.
is there a chance that there should be 7 bits for the output?
(ive drawn the “game table” and calculated what is the maxium amount of prize a player in the game can reach but this number cant be represented by 6 bits).
thanks yair