Prime p₀= 1597279948323509687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: crashtech
db: batch=78, k=10, 2 28 2 10 2

STPT(10)	1597279542629732579	0 2 48 50 60 62 72 74 120 122	-405693777108
SPT(16)	1597279670716287697	0 6 16 42 76 90 102 156 196 250 262 276 310 336 346 352	-277607221990
SPT(16)	1597279748203249259	0 2 92 108 140 162 168 182 198 212 218 240 272 288 378 380	-200120260428
SPT(16)	1597279755629396077	0 22 52 120 204 246 250 264 292 306 310 352 436 504 534 556	-192694113610
STPT(10)	1597279825705713167	0 2 42 44 72 74 102 104 144 146	-122617796520
STPT(10)	1597279948278398999	0 2 18 20 30 32 42 44 60 62	-45110688
SPT(16)	1597280097341802347	0 56 104 116 126 134 144 146 180 182 192 200 210 222 270 326	149018292660
SPT(16)	1597280193777349979	0 8 18 20 104 144 170 254 258 342 368 408 492 494 504 512	245453840292
SPT(16)	1597280404405370749	0 12 22 72 82 84 108 130 162 184 208 210 220 270 280 292	456081861062
SPT(16)	1597280656241824207	0 52 54 64 66 84 120 150 166 196 232 250 252 262 264 316	707918314520
STPT(10)	1597280731791585947	0 2 30 32 42 44 54 56 84 86	783468076260