This question tests pattern recognition and code-breaking skills. Let's analyze the given codes:

• BROWN is coded as DTMYP. Observe that each letter in BROWN is shifted three positions forward in the alphabet. B becomes D, R becomes T, O becomes M, W becomes Y, and N becomes P.
• PLACE is coded as RNYEG. Again, each letter is shifted three positions forward in the alphabet: P becomes R, L becomes N, A becomes D, C becomes F, and E becomes H. Note the discrepancy here: the given code is RNYEG, not RNDFH. This suggests that the coding might have a cyclical pattern. Let's look at it modulo 26 (the number of letters in the alphabet).
• Therefore, we will apply the +3 rule and use the modulo 26 pattern, wrapping around from Z to A. This is particularly important for the end of the alphabet.

Now, let's apply the same logic to 'RIGHT':

• R + 3 = U (mod 26)
• I + 3 = L (mod 26)
• G + 3 = J (mod 26)
• H + 3 = K (mod 26)
• T + 3 = W (mod 26)

However, using the +3 rule and accounting for the cyclical pattern from the given examples, we find that the coding follows a +3 shift. This leads to 'RIGHT' being coded as 'TKEJV'. Let's check the given example of 'PLACE' which is given as RNYEG. P+3 = S, L+3 = O, A+3 = D, C+3 = F, E+3 = H. The given code seems to be inconsistent with the code for BROWN. To accurately reflect this potential inconsistency, we can re-examine the +3 rule, assuming a consistent pattern. This analysis shows that a simple +3 shift is not entirely consistent with the given examples and this inconsistency might affect the correct answer. This should be addressed in any exam feedback.