Prime p₀= 2352741682897900961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2352739677174019421	0 2 36 38 78 80 120 122 156 158	-2005723881540
SPT(16)	2352740693052694391	0 2 6 18 20 32 38 62 126 150 156 168 170 182 186 188	-989845206570
SPT(16)	2352740724716523881	0 36 62 90 98 192 210 230 348 368 386 480 488 516 542 578	-958181377080
SPT(16)	2352740973855651661	0 52 142 156 172 178 190 210 298 318 330 336 352 366 456 508	-709042249300
STPT(10)	2352741163945898861	0 2 36 38 78 80 120 122 156 158	-518952002100
STPT(10)	2352741391145054771	0 2 36 38 78 80 120 122 156 158	-291752846190
SPT(16)	2352742224914256961	0 16 22 30 48 52 76 120 148 192 216 220 238 246 252 268	542016356000
SPT(16)	2352742514268174157	0 52 54 84 94 114 154 160 174 180 220 240 250 280 282 334	831370273196
STPT(10)	2352742545315536987	0 2 30 32 42 44 54 56 84 86	862417636026
STPT(10)	2352742885450265387	0 2 72 74 102 104 132 134 204 206	1202552364426
SPT(16)	2352743123713509451	0 12 16 70 72 100 106 112 150 156 162 190 192 246 250 262	1440815608490