I actually found an overlapping set from the 3rd pattern!

Code:

1135141716537970+1 is 3-PRP! (0.0000s+0.0002s)
1135141716537970+3 is 3-PRP! (0.0000s+0.0002s)
1135141716537970+7 is 3-PRP! (0.0000s+0.0001s)
1135141716537970+9 is 3-PRP! (0.0000s+0.0002s)
1135141716537970+19 is 3-PRP! (0.0000s+0.0001s)
1135141716537970+21 is 3-PRP! (0.0000s+0.0002s)
1135141716537970+31 is 3-PRP! (0.0000s+0.0001s)
1135141716537970+33 is 3-PRP! (0.0000s+0.0002s)
1135141716537970+31 is 3-PRP! (0.0000s+0.0001s)
1135141716537970+33 is 3-PRP! (0.0000s+0.0002s)
1135141716537970+37 is 3-PRP! (0.0000s+0.0002s)
1135141716537970+39 is 3-PRP! (0.0000s+0.0003s)
1135141716537970+49 is 3-PRP! (0.0000s+0.0002s)
1135141716537970+51 is 3-PRP! (0.0000s+0.0002s)
1135141716537970+61 is 3-PRP! (0.0000s+0.0002s)
1135141716537970+63 is 3-PRP! (0.0000s+0.0002s)