Prime p₀= 1413493523233364537 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: Theadalus
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1413491898271680517	0 10 12 30 36 66 72 90 142 160 166 196 202 220 222 232	-1624961684020
SPT(16)	1413492583321486739	0 14 60 78 84 152 162 170 192 200 210 278 284 302 348 362	-939911877798
STPT(10)	1413493143971145437	0 2 54 56 72 74 90 92 144 146	-379262219100
STPT(10)	1413493419097163147	0 2 42 44 72 74 102 104 144 146	-104136201390
SPT(16)	1413493457148572389	0 42 64 78 84 88 94 120 142 168 174 178 184 198 220 262	-66084792148
SPT(20)	1413493488412335023	0 14 24 116 128 140 150 168 198 200 204 206 236 254 264 276 288 380 390 404	-34821029514
STPT(10)	1413493701934898501	0 2 30 32 78 80 126 128 156 158	178701533964
SPT(16)	1413493785398290637	0 26 72 150 152 156 174 222 224 272 290 294 296 374 420 446	262164926100
STPT(10)	1413494040413052077	0 2 30 32 42 44 54 56 84 86	517179687540
STPT(10)	1413494048171526647	0 2 60 62 72 74 84 86 144 146	524938162110
STPT(10)	1413495077359349399	0 2 18 20 30 32 42 44 60 62	1554125984862