Welcome to the Q&A Forum

You have too much unnatural anchor text. It is a penalty without question. You must submit a reconsideration request to Google (so they confirm the penalty) then you must start clearing the spammy links. This will take some time to fix. I recently cleared 3 massive Google penalties on clients sites (worse than yours). It takes time but it is definitely worth doing it properly. Do no try any tricks to get round it, they will only come back to bite you in the posterior.