Prime p₀= 3010748541152790257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Coleslaw
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3010746910052543671	0 28 36 42 70 102 126 162 226 262 286 318 346 352 360 388	-1631100246586
TPT(14)	3010747038847314197	0 2 54 56 90 92 132 134 144 146 264 266 294 296	-1502305476060
STPT(10)	3010747633278366869	0 2 18 20 30 32 42 44 60 62	-907874423388
STPT(10)	3010748323372863209	0 2 42 44 90 92 138 140 180 182	-217779927048
SPT(16)	3010748424499696949	0 8 12 68 74 80 102 122 180 200 222 228 234 290 294 302	-116653093308
SPT(16)	3010748471688442559	0 8 32 42 84 110 182 194 228 240 312 338 380 390 414 422	-69464347698
SPT(16)	3010749009640977541	0 16 18 58 88 138 172 198 250 276 310 360 390 430 432 448	468488187284
STPT(10)	3010749086036158469	0 2 30 32 60 62 90 92 120 122	544883368212
STPT(10)	3010749091267572839	0 2 18 20 30 32 42 44 60 62	550114782582
SPT(16)	3010749122475639793	0 6 10 30 40 94 100 124 150 174 180 234 244 264 268 274	581322849536
SPT(16)	3010749165066483751	0 58 66 72 88 100 102 108 130 136 138 150 166 172 180 238	623913693494