35890

Our best solution is the sequence 2,4,11,0,-2. We could not find the sequence that covers all the numbers however we managed to find the numbers 0,2,4,6,9,11,13,15 and we could not find the numbers 4 and 8. At the start we created a spreadsheet to analyse all possibilities, however it became to complicated. We then tried trial and error to get as close as we could. After a few attempts we thought of a new method which is linked to this answer. Using this we managed to get the solution that we did but could not get the final answer correct.