Prime p₀= 2524622080695644351 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: fake
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2524620643810813753	0 6 18 28 60 84 130 178 186 234 280 304 336 346 358 364	-1436884830598
SPT(16)	2524620803641935637	0 46 52 72 90 100 106 126 136 156 162 172 190 210 216 262	-1277053708714
SPT(16)	2524621089145944869	0 12 84 90 114 152 168 174 218 224 240 278 302 308 380 392	-991549699482
SPT(16)	2524621500338093809	0 28 100 174 190 204 240 288 310 358 394 408 424 498 570 598	-580357550542
SPT(16)	2524621859793638783	0 6 26 36 50 54 80 90 140 150 176 180 194 204 224 230	-220902005568
SPT(16)	2524621899033437921	0 20 32 68 116 146 158 222 266 330 342 372 420 456 468 488	-181662206430
STPT(10)	2524622259537989729	0 2 18 20 30 32 42 44 60 62	178842345378
SPT(16)	2524622624478754517	0 2 12 92 120 132 230 236 240 246 344 356 384 464 474 476	543783110166
STPT(10)	2524622835580590359	0 2 18 20 30 32 42 44 60 62	754884946008
STPT(10)	2524622860638526931	0 2 6 8 48 50 90 92 96 98	779942882580
SPT(16)	2524623344107654631	0 66 72 86 98 116 132 156 242 266 282 300 312 326 332 398	1263412010280