Prime p₀= 2796261464634688019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: JayPi
db: batch=82, k=10, 2 10 2 16 2

STPT(10)	2796259585519637057	0 2 60 62 72 74 84 86 144 146	-1879115050962
TPT(14)	2796259868957567561	0 2 48 50 96 98 150 152 300 302 306 308 330 332	-1595677120458
SPT(16)	2796260007499571369	0 14 30 32 72 78 84 120 122 158 164 170 210 212 228 242	-1457135116650
SPT(16)	2796261268270664851	0 30 46 76 160 196 252 262 276 286 342 378 462 492 508 538	-196364023168
STPT(10)	2796261307265333417	0 2 42 44 72 74 102 104 144 146	-157369354602
SPT(16)	2796261412032705619	0 30 48 52 72 118 142 148 204 210 234 280 300 304 322 352	-52601982400
STPT(10)	2796261629268280487	0 2 30 32 72 74 114 116 144 146	164633592468
SPT(16)	2796261784126423853	0 8 14 30 78 104 108 164 174 230 234 260 308 324 330 338	319491735834
SPT(16)	2796261978177047687	0 6 24 26 30 32 114 146 150 182 264 266 270 272 290 296	513542359668
TPT(14)	2796262325713724837	0 2 12 14 30 32 90 92 102 104 144 146 264 266	861079036818
SPT(16)	2796262358120186269	0 40 48 54 58 90 108 142 150 184 202 234 238 244 252 292	893485498250