The problem requires finding the coding pattern used for 'NDRWCK' becoming 'GUGPTZ' and applying it to 'MTSFHJ'.

Decoding the Pattern: NDRWCK to GUGPTZ

We analyze the shift in alphabet position for each letter:

• N (14) $\rightarrow$ G (7): Shift = $7 - 14 = -7$
• D (4) $\rightarrow$ U (21): Shift = $21 - 4 = +17$
• R (18) $\rightarrow$ G (7): Shift = $7 - 18 = -11$
• W (23) $\rightarrow$ P (16): Shift = $16 - 23 = -7$
• C (3) $\rightarrow$ T (20): Shift = $20 - 3 = +17$
• K (11) $\rightarrow$ Z (26): Shift = $26 - 11 = +15$

The sequence of shifts applied is: -7, +17, -11, -7, +17, +15.

Applying Pattern to MTSFHJ

We apply the identified shift sequence to the letters of 'MTSFHJ':

• M (13): Apply -7. Calculation: $13 - 7 = 6$. The 6th letter is F.
• T (20): Apply +17. Calculation: $20 + 17 = 37$. Using modulo 26: $37 \pmod{26} = 11$. The 11th letter is K.
• S (19): Apply -11. Calculation: $19 - 11 = 8$. The 8th letter is H.
• F (6): Apply -7. Calculation: $6 - 7 = -1$. Using modulo 26: $-1 + 26 = 25$. The 25th letter is Y.
• H (8): Apply +17. Calculation: $8 + 17 = 25$. The 25th letter is Y.
• J (10): Apply +15. Calculation: $10 + 15 = 25$. The 25th letter is Y.

Final Coded Word

Combining the resulting letters gives the code for 'MTSFHJ' as 'FKHYYY'.