Prime p₀= 2680244599870126769 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Asgard2022
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2680242990677661061	0 6 42 60 72 76 102 132 256 286 312 316 328 346 382 388	-1609192465708
STPT(10)	2680243121141570627	0 2 30 32 42 44 54 56 84 86	-1478728556142
STPT(10)	2680243173061603727	0 2 30 32 42 44 54 56 84 86	-1426808523042
STPT(10)	2680243208015474207	0 2 12 14 42 44 72 74 84 86	-1391854652562
SPT(16)	2680243212324223681	0 10 28 72 130 142 150 156 172 178 186 198 256 300 318 328	-1387545903088
SPT(16)	2680243960234918997	0 2 14 132 162 176 182 236 240 294 300 314 344 462 474 476	-639635207772
SPT(16)	2680245261054289897	0 30 72 94 126 132 150 160 216 226 244 250 282 304 346 376	661184163128
STPT(10)	2680245393242847851	0 2 36 38 78 80 120 122 156 158	793372721082
SPT(16)	2680245479351880823	0 6 36 84 94 144 154 160 180 186 196 246 256 304 334 340	879481754054
TPT(14)	2680245508119861287	0 2 12 14 90 92 102 104 210 212 222 224 240 242	908249734518
SPT(18)	2680245983100427517	0 42 72 74 174 200 222 254 266 270 282 314 336 362 462 464 494 536	1383230300748