Prime p₀= 2123275529923534079 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: arkiss
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2123274651082770511	0 46 58 76 78 118 132 138 190 196 210 250 252 270 282 328	-878840763568
SPT(16)	2123274740972471477	0 6 14 32 74 140 144 146 150 152 156 222 264 282 290 296	-788951062602
SPT(22)	2123274891022309273	0 84 88 96 106 130 156 160 166 190 204 250 264 288 294 298 324 348 358 366 370 454	-638901224806
STPT(10)	2123274891987267869	0 2 48 50 90 92 132 134 180 182	-637936266210
SPT(16)	2123274966144166469	0 20 24 38 42 60 90 104 138 152 182 200 204 218 222 242	-563779367610
STPT(10)	2123275254924573521	0 2 30 32 78 80 126 128 156 158	-274998960558
STPT(10)	2123275955435561117	0 2 42 44 72 74 102 104 144 146	425512027038
STPT(10)	2123276208296649221	0 2 6 8 48 50 90 92 96 98	678373115142
STPT(10)	2123276476616636147	0 2 72 74 102 104 132 134 204 206	946693102068
SPT(16)	2123276564999259647	0 54 92 182 186 242 246 252 284 290 294 350 354 444 482 536	1035075725568
SPT(16)	2123276688457000093	0 24 54 58 66 76 154 166 318 330 408 418 426 430 460 484	1158533466014