Is it possible to generate a list of vectors with values within a specific range that are all unique to each other?

I am trying to create a list of vectors with the following conditions:

• each vector has a length of 3
• each value in the vector ranges from 0-2
• there are 14 vectors in the list
• each combination in a vector is unique

The part that I'm struggling with is creating a unique combination of values for each vector.

I wrote a code that works but it is too inefficient and takes too long. So I was wondering if any of you know a code in python that might help. I would really appreciate any advice!

Here is the code I have rn:

empty_array = np.zeros((14,3))                        #create an array to hold 14 vectors
x = -1
for i in range(14):                                   #for every neuron:
    x = x + 1
    random_vector = np.random.randint(0,3,3)          #generate a random vector of integers: 
                                                      #0 = no pdch, 1 = type 1 pdch, 2 = type 2 pdch
    while random_vector in empty_array:               #ensure vector is unique 
        random_vector = np.random.randint(0,3,3)
           
    empty_array[x] = random_vector                    #assign vector to matrix