What you are describing is the standard round-robin tournament for 12 players. As the schedule page defaults to "cyclic", you need to change it by clicking the box at the top that says "whist".
In case there is something going wrong with your browser then I have pasted the schedule below.
Round 1: 12 1 9 10 2 8 3 6 411 5 7
Round 2: 12 2 10 11 3 9 4 7 5 1 6 8
Round 3: 12 3 11 1 4 10 5 8 6 2 7 9
Round 4: 12 4 1 2 5 11 6 9 7 3 810
Round 5: 12 5 2 3 6 1 7 10 8 4 911
Round 6: 12 6 3 4 7 2 8 11 9 5 10 1
Round 7: 12 7 4 5 8 3 9 1 10 6 11 2
Round 8: 12 8 5 6 9 4 10 2 11 7 1 3
Round 9: 12 9 6 7 10 5 11 3 1 8 2 4
Round 10: 12 10 7 8 11 6 1 4 2 9 3 5
Round 11: 12 11 8 9 1 7 2 5 310 4 6