Prime p₀= 2123275955435561117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2123274740972471477	0 6 14 32 74 140 144 146 150 152 156 222 264 282 290 296	-1214463089640
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	-1064413251844
STPT(10)	2123274891987267869	0 2 48 50 90 92 132 134 180 182	-1063448293248
SPT(16)	2123274966144166469	0 20 24 38 42 60 90 104 138 152 182 200 204 218 222 242	-989291394648
STPT(10)	2123275254924573521	0 2 30 32 78 80 126 128 156 158	-700510987596
STPT(10)	2123275529923534079	0 2 18 20 30 32 42 44 60 62	-425512027038
STPT(10)	2123276208296649221	0 2 6 8 48 50 90 92 96 98	252861088104
STPT(10)	2123276476616636147	0 2 72 74 102 104 132 134 204 206	521181075030
SPT(16)	2123276564999259647	0 54 92 182 186 242 246 252 284 290 294 350 354 444 482 536	609563698530
SPT(16)	2123276688457000093	0 24 54 58 66 76 154 166 318 330 408 418 426 430 460 484	733021438976
SPT(16)	2123276899626078487	0 30 36 90 102 132 166 172 240 246 280 310 322 376 382 412	944190517370