Group as- A= 6, B=6, C=6, D=1
Step 1. Weight A&B
Step 2. Weight A&C
If both equal, D is the different egg.
If one group is different - A, B or C then different egg can be found in 2 weightings in 2 ways
1. Make 3 groups of 2, weight 2+2 then 1+1 to find different egg
2. Make 2 groups of 3, weight 3+3, then 1+1 to find different egg