Prime p₀= 2568367191197628641 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

TPT(14)	2568366204650965781	0 2 18 20 150 152 186 188 210 212 270 272 360 362	-986546662860
SPT(16)	2568366301936009433	0 6 14 20 24 108 126 138 146 158 176 260 264 270 278 284	-889261619208
TPT(14)	2568366578877281849	0 2 78 80 240 242 258 260 330 332 468 470 480 482	-612320346792
SPT(16)	2568366914480008349	0 8 12 38 60 68 120 122 180 182 234 242 264 290 294 302	-276717620292
STPT(10)	2568366991782451817	0 2 60 62 72 74 84 86 144 146	-199415176824
SPT(16)	2568367035613431971	0 2 6 8 48 66 72 86 162 176 182 200 240 242 246 248	-155584196670
SPT(16)	2568367240386712217	0 26 32 60 84 92 122 126 200 204 234 242 266 294 300 326	49189083576
SPT(16)	2568367294659546229	0 28 48 58 82 94 100 142 150 192 198 210 234 244 264 292	103461917588
SPT(16)	2568367570314190637	0 12 14 20 54 152 170 314 402 546 564 662 696 702 704 716	379116561996
SPT(16)	2568367750442640493	0 6 54 70 84 96 100 156 184 240 244 256 270 286 334 340	559245011852
SPT(16)	2568368051576905873	0 28 114 120 126 138 150 154 180 184 196 208 214 220 306 334	860379277232