Sum of element and next element with condition python

I have a script that generates a randomised list of numbers between 0,60 and it is sorted in ascending order.

Essentially, I want to check if the difference between each element, and the element next to it is above 3, and if it is not, I want the list to be regenerated until the condition applies.

For example:

my_list = [1, 2, 3, 4, 5]
# this would not pass

my_list = [1, 5, 9, 13, 20]
# this would pass as the difference between each element and the next is more than 3

My code so far:

def generateList():
    timeSlots = list(range(0, 60)) # generate random list
    random.shuffle(timeSlots) # shuffle list

    timeSlots = timeSlots[:9] # shorten list to 9 elements
    timeSlots.sort() # sort list in ascending order

    for cur, nxt in zip(timeSlots, timeSlots[1:]):
        diff = (nxt - cur) # check difference
        if diff < 3:
            # HELP HERE
            # regenerate timeSlots until the sum of each element and the next element is bigger than 3
     
    return timeSlots