Well based on the comment I replied to, you communicated that you did! Don't sell yourself short. Talk to your manager; is there opportunity at your current org to do the kind of work you are looking for? If not, look elsewhere; the challenge is communicating that you have the relevant experience (ideally with something to show at your current role (hence my previous comment)).
Instead I started freelancing, got a few clients, and eventually hired others to help me.
Looking back, when I impressed clients with my work I was regularly offered various forms of management responsibilities. I probably could have found other opportunities like that if I had pursued it.
If you demonstrate good results in one of the main skills required for a job and explain how you would build up the others, you might be surprised at who would hire you.
People who can do well in several areas and effectively manage projects or other people are always in short supply.
What is your goal? I identify with the parent comment here, (the parent of that too) and feel like I've reached a point where the most obvious answer to your question (on leveraging strengths) is management.
If you can code, project manage, and communicate effectively with [non]tech people and don't mind the stress of dealing with other people's issues, then it might be up your alley.