There were a few periods of my life when i was on a rebound from a long term relationship. I mostly worked overtime and used my time off to help other people. There was always someone who had it worse than I did, so I reached out because I had nothing else in my life at the time - no family and few close friends.
I hop you will feel better soon!! Sorry you broke up with the guy.. It is really hard when you have plans and hopes.

I have gone through this. I had a difficult time with it the first time it happened. And now that I'm going through it again, I'm trying to embrace the alone time. Sometimes I even enjoy it. I try to keep myself busy with projects or things I enjoy. I still have my moments, but I try to push through it. Time will make it easier to deal with this change. And you will make new friends along the way. All is not lost.

I've thought picking up a part time job in addition to my full time one. It would fill the hours and extra money never hurts. Thought it might be a way to meet other people, as well. In my real job, I'm the youngest there by a long stretch (their kids are my age) so I feel like I don't have much in common with them. Good people, just too much of an age gap.

I wouldn't let an age gap bother you when it comes to friends. Some of my friends are closer to my mother's age.

I have recently broken up/getting divorced from my wife. It was my only long term relationship so has been rather painful. 11 years and had to get an apartment. My situation is different in that I have a daughter so am with her 3 days a week which focuses me and eliminates much of the loneliness. I have been focusing on bettering myself and looking at what I did wrong in my relationship and what I was willing to overlook in my wife thinking things would get better. I am trying to learn from the experience so as not to repeat things that were dysfunctional.
I agree with Aronia, not a surprise she's really great, that service to others is a great way to take the intensity of your situation down a notch. I have been volunteering at my daughter's school, which also gives me more time with her.
I do have several hobbies, reading, trail running and mountain biking and basketball. These things are good and healthy and I often do them with others so there is a social element.
I have decided to give up drinking and smoking pot and am finding that this choice is leading me to new friends. I am not overly concerned with who these friends will be or how long it will take for them to appear, haha! I do think that this major life change will transform me in many ways. I am choosing to embrace it. Hell, it's happening any way.
I am also, making a conscious choice to embrace my alone time like 17 butterfly, I have decided that I am going to search for my self and not the next woman in my life for at least one year. Now I will be honest if she appears before that arbitrary time I wouldn't turn away from someone. But I am planning on a slow building relationship. I want a friend not just a lover. So, take your time and think about what you want, what you don't want and who you are now that this relationship has ended. I believe taking the time will be worthwhile.
Best wishes and if you need to bounce anything off someone, I am open and try to be as thoughtful and honest as I can be.

Having friends from different generations, socio-economic strati and of varied viewpoints can deeply edify your life. I wouldn't let the age difference between your coworkers and yourself be a hindrance if you find them pleasant otherwise :)