Prime p₀= 2678349545958788027 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: Asgard2022
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2678347414950769319	0 2 18 20 30 32 42 44 60 62	-2131008018708
SPT(16)	2678347484193083299	0 42 70 130 132 192 214 220 234 240 262 322 324 384 412 454	-2061765704728
STPT(10)	2678347710265367531	0 2 180 182 210 212 240 242 420 422	-1835693420496
SPT(16)	2678348028255839767	0 10 22 60 90 102 142 144 202 204 244 256 286 324 336 346	-1517702948260
SPT(16)	2678348057340395641	0 12 82 88 90 102 130 138 160 168 196 208 210 216 286 298	-1488618392386
TPT(14)	2678348944898045777	0 2 12 14 72 74 114 116 204 206 282 284 534 536	-601060742250
SPT(16)	2678349668184626327	0 6 42 66 72 92 170 182 204 216 294 314 320 344 380 386	122225838300
STPT(10)	2678349718408991069	0 2 18 20 60 62 102 104 120 122	172450203042
STPT(10)	2678349774645183851	0 2 36 38 78 80 120 122 156 158	228686395824
STPT(10)	2678349839184589049	0 2 18 20 30 32 42 44 60 62	293225801022
SPT(16)	2678350337728848791	0 72 116 156 170 180 198 206 312 320 338 348 362 402 446 518	791770060764