Prime p₀= 2101638538845596459 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: Orange Kid
db: batch=80, k=10, 2 16 2 40 2

SPT(16)	2101637676615455047	0 4 6 54 70 72 90 112 114 136 154 156 172 220 222 226	-862230141412
STPT(10)	2101637793834072491	0 2 6 8 48 50 90 92 96 98	-745011523968
STPT(10)	2101637804027296697	0 2 30 32 42 44 54 56 84 86	-734818299762
STPT(10)	2101637957417212607	0 2 30 32 42 44 54 56 84 86	-581428383852
STPT(10)	2101638356245795649	0 2 42 44 60 62 78 80 120 122	-182599800810
STPT(10)	2101638398387245811	0 2 30 32 60 62 90 92 120 122	-140458350648
SPT(16)	2101638759497274271	0 10 18 22 28 30 36 72 136 172 178 180 186 190 198 208	220651677812
SPT(16)	2101638821015875513	0 58 84 108 114 126 130 168 196 234 238 250 256 280 306 364	282170279054
SPT(16)	2101639136715480071	0 8 12 26 48 128 156 182 246 272 300 380 402 416 420 428	597869883612
TPT(14)	2101639297361060027	0 2 72 74 114 116 180 182 240 242 312 314 390 392	758515463568
SPT(16)	2101639591918458169	0 12 28 34 54 114 118 132 190 204 208 268 288 294 310 322	1053072861710