No, you dont. Well, actually maybe you do.
Edit.
It seems to me that the confusion around these boards comes from the fact that people interpret the requirement in 2 different ways.
The first way of reading it, is that all 8 man content counts toward the achievement. In which case, yea I believe you that you meet the requirement. I may have 200 completions myself. But:
The second way of reading it, and tbh I dont see how else you should read it, is that ONLY the dungeons listed by the notes are counted toward the achievements. So I post it again from the notes:
"As of patch 2.2, the following trials and raids will count toward achievements requiring the completion of high-level duties with a full party:
The Howling Eye (Extreme) / The Navel (Extreme) / The Bowl of Embers (Extreme) / The Whorl Eater (Extreme) / Thornmarch (Extreme) / The Binding Coil of Bahamut (excluding Turn 3) / The Second Coil of Bahamut"
If this is true, then I do not meet the requirements and I highly doubt you do too. Just for reference, completing coil 1 to 5, is only 4 completions per week. So in 1 month, you get 16 completions assuming you never missed any. In 5 months, thats still only 80 completions. And thats assuming you tanked coil since November last year, never missed any coils. Never were sick. Never had a project meeting its deadline, never had to work overtime for your boss and never had any internet outage or another triple A game you wanted to play and finish that week. And if you have all this done, you still need to get 120 primal extreme kills, using only paladin or only warrior.
If the second way, is how you should read it, then trust me, only a handfull of people have that many kills on their name using only a tank job.
And as for that guy who said he cared about the roulette gils:
lol I do not doubt that you spam run roulettes on a satursday evening but trust me when I say you are absolutely unique in that regard than. Because 23k gil a week is fkin PEANUTS. You must be very poor in game to be that desperate. As for me, I tend to spend my time a bit more productive.