Prime p₀= 4458420452513572817 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: vonboedefeldt
db: batch=85, k=10, 2 22 2 16 2

STPT(10)	4458419846817958631	0 2 30 32 78 80 126 128 156 158	-605695614186
STPT(10)	4458420187332374309	0 2 12 14 90 92 168 170 180 182	-265181198508
SPT(16)	4458420198564061291	0 46 52 72 132 172 178 190 198 210 216 256 316 336 342 388	-253949511526
STPT(10)	4458420287300824847	0 2 30 32 60 62 90 92 120 122	-165212747970
SPT(16)	4458420387954321533	0 6 26 54 56 84 90 140 264 314 320 348 350 378 398 404	-64559251284
SPT(16)	4458420449591594909	0 12 54 68 120 174 210 224 258 272 308 362 414 428 470 482	-2921977908
SPT(16)	4458421063008580411	0 46 58 60 118 148 150 168 178 196 198 228 286 288 300 346	610495007594
SPT(16)	4458421151214010913	0 6 8 20 50 170 176 206 210 240 246 366 396 408 410 416	698700438096
SPT(16)	4458421204800417559	0 4 18 28 34 64 84 108 130 154 174 204 210 220 234 238	752286844742
SPT(16)	4458421374543883183	0 6 24 30 66 76 90 160 240 310 324 334 370 376 394 400	922030310366
STPT(10)	4458421844560008497	0 2 12 14 42 44 72 74 84 86	1392046435680