As a blind programmer, I, and I'm sure everyone on the blind programmers mailing list, would like to correct you about the impossibility of writing code. Writing code is the easy part; turn on punctuation in your screen reader, and/or use a braille display. Personally, the only language I have found myself utterly unable to use is Python; using whitespace to mean things is really, really, really bad for me. Without close braces or endifs, I find figuring out what level I'm at impossible. However, I know many, many successful blind programmers who laugh at my difficulty with, and hatred of, Python. I think the difference is that I'm self taught, and never indent or space my code correctly; if I need to work with a sighted person, I run my code through a code formatter to get it set up for them. Many blind programmers, who were formally taught usually by sighted teachers, indent code as a habit, so transitioning to a language where thinking about something the screen reader doesn't read explicitly is more natural for them.
The real challenge for a blind person is screen layout. Most tools today, especially from Apple and Microsoft, have these click and drag interface builders that just do *not* work. Several people have developed libraries, like Layout By Code, to help with this, but it's still a struggle. I find my best bet is to stick to the command line, or work inside other systems like Drupal, that will take care of layout for me.