I think all the advise above is very useful. If I were you, though I would walk away form class structure and topics, but find out why the students are not willing to interact or work with you. There are plenty of reasons, why it could be but try to find out.
Since you have a class that does not respond at all, let's say you are on a road that leads to doom, "yours".
Also analyze the class and look for the culprits sabotaging your class, or unwilling to care or work. And find the ones that are generally interested but for some reason don't work.
After you find out what the/ their problem is, get them interested in doing funky subjects, or find interesting ways to teach it. For that I think there are hundred ways of doing that, group work, movie/book analysis, games, role play, getting out in the real world and fixing real problems, model U.N., One day as a king.
Another way or an addition is,...your kids are teenagers and have developed a reasonable amount of social and general intelligence and intellect, thus you can actually sit down with those brats and tell them the reality of your and their situation and find a solution for both of you. If they don't give a crap, nor the parents, not the school, and they really don't want. Then you shouldn't, or even more. So make sure that you have fun and enjoy your time. Use subject and topics that you are interested in. You can learn something new or do something is class, if someone is interested, you extend, if they are just vegetables sitting there, great! No interruption.
Once I had a class like that, and they did the same, I had the talk with them. They said they didn't care, only two students were interested and they were shut up by the group leaders. So I said, screw this, I brought my guitar [I am learning] and practiced [painful to the ear], coz I thought, they can waste their time, but why should I waste mine. Surprise surprise, almost half of the class played in a band or an instrument, and oops, we had some common ground. I wasn't crazy stranger, teacher, but the dude-teacher with a guitar. A week later they brought their instruments and from there on we started working things out.
One kid was actually pretty good with the guitar and I could hook him up with a band-demo.
Became a good class after that, took me about a month, to actually teach. But it worked.
Anyway, if you want to teach, you have to win the crowd. If not show that you are interesting, for who you are, and then in the beginning you may be the subject.
I knew this teacher bloke who overheard some of his students talking about gay stuff [negative-& stereotypes stuff]. Something about painting ones nails. The teacher was in a similar situation, so just to bring up a subject of discussion he painted [guy] his toenails. He became somewhat of a Rockstar after that.
I hope you get the point.
Teenagers are a tough bunch but just because they are so lost in their own hearts and souls, but a little mind-candy and they are all back the game.
God luck.