you need to create a source in studio.twitter.com
use ffmpeg to create a black video stream with audi from a different (network-)source stream (icecast)
ffmpeg -f lavfi -y -i color=c=black@0:rate=30 \
-i "{http[s]://STREAM_URL}" \
-c:v libx264 -b:v 1600k -preset ultrafast \
-c:a aac -b:a 128k -s 1920×1080 -x264opts keyint=50 \
-g 25 -pix_fmt yuv420p -f flv \
"rtmp://sg.pscp.tv:80/x/{BROADCAST_KEY}"
create a broadcast with the previously created source: public, no broadcast recording, ...
use the broadcast url with an url shortener like https://is.gd/ or something and post the shortened url on twitter if you want, without hashtags or something