Prime p₀= 1866138985473322457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 16 2 16 2 82 2 (?)
a_n: 0 2 84 86 102 104 120 122 204 206
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: 206
Found by: gemini8
db: batch=79, k=10, 2 82 2 16 2

SPT(16)	1866138053574639947	0 6 20 32 42 50 60 84 92 116 126 134 144 156 170 176	-931898682510
SPT(16)	1866138142167832817	0 6 32 62 84 86 96 114 242 260 270 272 294 324 350 356	-843305489640
SPT(16)	1866138222881075771	0 20 26 36 92 102 132 168 200 236 266 276 332 342 348 368	-762592246686
STPT(10)	1866138609377555801	0 2 36 38 78 80 120 122 156 158	-376095766656
SPT(16)	1866138788458882783	0 54 96 138 208 216 226 240 304 318 328 336 406 448 490 544	-197014439674
STPT(10)	1866138902098408031	0 2 6 8 48 50 90 92 96 98	-83374914426
TPT(14)	1866139101719032211	0 2 36 38 78 80 120 122 198 200 240 242 360 362	116245709754
STPT(10)	1866139994899519349	0 2 48 50 90 92 132 134 180 182	1009426196892
STPT(10)	1866140141971974677	0 2 54 56 72 74 90 92 144 146	1156498652220
STPT(10)	1866140162875168379	0 2 42 44 90 92 138 140 180 182	1177401845922
SPT(16)	1866140370225185771	0 6 36 56 96 98 132 140 168 176 210 212 252 272 302 308	1384751863314