Prime p₀= 2355024309295849559 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: Time_Traveler
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2355023496712711259	0 14 50 78 128 162 194 260 282 348 380 414 464 492 528 542	-812583138300
SPT(16)	2355023731217050979	0 8 72 78 150 152 192 198 332 338 378 380 452 458 522 530	-578078798580
TPT(14)	2355024056666898311	0 2 30 32 36 38 60 62 90 92 156 158 210 212	-252628951248
SPT(16)	2355024094577671663	0 66 76 90 136 156 160 168 226 234 238 258 304 318 328 394	-214718177896
SPT(16)	2355024267450556099	0 40 54 88 114 118 138 142 210 214 234 238 264 298 312 352	-41845293460
TPT(14)	2355024306857608949	0 2 12 14 78 80 90 92 162 164 300 302 342 344	-2438240610
SPT(16)	2355024380339329471	0 16 36 42 66 196 226 276 292 342 372 502 526 532 552 568	71043479912
SPT(16)	2355024394626328199	0 78 84 92 102 104 158 192 260 294 348 350 360 368 374 452	85330478640
STPT(10)	2355024412000393751	0 2 36 38 78 80 120 122 156 158	102704544192
SPT(16)	2355024465177331729	0 12 42 64 70 82 150 202 210 262 330 342 348 370 400 412	155881482170
STPT(10)	2355024964219769687	0 2 24 26 42 44 60 62 84 86	654923920128