Prime p₀= 2170557484312924937 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: Penguin
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2170556471160380249	0 42 74 122 144 168 182 224 228 270 284 308 330 378 410 452	-1013152544688
STPT(10)	2170556505260993819	0 2 48 50 90 92 132 134 180 182	-979051931118
SPT(16)	2170556775558182941	0 30 42 70 88 102 112 142 198 228 238 252 270 298 310 340	-708754741996
TPT(14)	2170557060129112049	0 2 48 50 108 110 132 134 168 170 192 194 300 302	-424183812888
TPT(14)	2170557352401415301	0 2 36 38 120 122 126 128 330 332 438 440 498 500	-131911509636
STPT(10)	2170557375819458441	0 2 6 8 48 50 90 92 96 98	-108493466496
SPT(16)	2170557524958318701	0 36 86 90 98 128 170 210 218 258 300 330 338 342 392 428	40645393764
SPT(16)	2170557783905117401	0 42 58 126 172 202 268 280 288 300 366 396 442 510 526 568	299592192464
STPT(10)	2170557955949077547	0 2 30 32 72 74 114 116 144 146	471636152610
SPT(16)	2170558152103170329	0 30 42 68 78 108 110 140 162 192 194 224 234 260 272 302	667790245392
SPT(16)	2170558420716967783	0 6 34 78 108 126 190 210 214 234 298 316 346 390 418 424	936404042846