Prime p₀= 1458309208555050749 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: MarkRBright
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1458307938945558703	0 10 46 48 60 70 126 144 220 238 294 304 316 318 354 364	-1269609492046
TPT(16)	1458308194499723729	0 2 30 32 138 140 192 194 318 320 348 350 372 374 378 380	-1014055327020
SPT(16)	1458308282157267319	0 30 64 78 84 88 94 108 190 204 210 214 220 234 268 298	-926397783430
SPT(16)	1458308324815408337	0 14 32 60 120 144 164 186 200 222 242 266 326 354 372 386	-883739642412
STPT(10)	1458308394453390551	0 2 30 32 78 80 126 128 156 158	-814101660198
SPT(16)	1458308719872151753	0 6 34 156 196 238 250 280 294 324 336 378 418 540 568 574	-488682898996
SPT(16)	1458309296208293941	0 12 40 126 150 178 198 220 258 280 300 328 352 438 466 478	87653243192
TPT(14)	1458309356189724089	0 2 60 62 72 74 102 104 270 272 342 344 408 410	147634673340
SPT(16)	1458309414724781657	0 2 44 62 90 120 140 146 150 156 176 206 234 252 294 296	206169730908
STPT(10)	1458310719123559097	0 2 30 32 42 44 54 56 84 86	1510568508348
STPT(10)	1458310870762242527	0 2 30 32 60 62 90 92 120 122	1662207191778