Prime p₀= 2664692058163231709 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: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2664689554220735009	0 8 12 24 80 90 92 134 168 210 212 222 278 290 294 302	-2503942496700
TPT(14)	2664690679104265751	0 2 18 20 120 122 156 158 258 260 396 398 408 410	-1379058965958
STPT(10)	2664690681483484499	0 2 18 20 30 32 42 44 60 62	-1376679747210
STPT(10)	2664691482395796107	0 2 42 44 72 74 102 104 144 146	-575767435602
STPT(10)	2664691586823964931	0 2 30 32 78 80 126 128 156 158	-471339266778
SPT(16)	2664691996876236941	0 18 32 42 110 150 152 168 242 258 260 300 368 378 392 410	-61286994768
STPT(10)	2664692672075253641	0 2 6 8 48 50 90 92 96 98	613912021932
SPT(16)	2664692951460171893	0 6 24 48 86 108 128 150 164 186 206 228 266 290 308 314	893296940184
SPT(16)	2664693284420972561	0 18 38 42 92 110 120 126 152 158 168 186 236 240 260 278	1226257740852
STPT(10)	2664693305898405869	0 2 42 44 90 92 138 140 180 182	1247735174160
SPT(18)	2664693752426663413	0 24 58 88 156 166 178 196 214 330 348 366 378 388 456 486 520 544	1694263431704