I'm not sure the patterns on the SR-16 respond to Midi-In messages. I use my SR-16 with a Sequencer on an Atari ST and I do not use the SR-16 patterns. I use the individual drum sounds.
But I believe you can record the patterns from the SR-16. You can set the sequencer (whatever kind) to recieve Midi data from the SR-16 and just hit PLAY on the SR-16. The sequencer should record the correct notes. You might have to do some adjustments after that to get the right drum sounds to play but you should at least get the notes you want.
I know this is not the exact answer you were looking for but I hope it helps anyway.