Prime p₀= 2565702253399758791 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 58 2 58 2 46 2 (?)
a_n: 0 2 48 50 108 110 168 170 216 218
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: 218
Found by: Penguin
db: batch=82, k=10, 2 46 2 58 2

SPT(16)	2565700973395314613	0 28 34 78 108 136 166 196 228 258 288 316 346 390 396 424	-1280004444178
STPT(10)	2565701024384170961	0 2 36 38 78 80 120 122 156 158	-1229015587830
TPT(14)	2565701113084870091	0 2 6 8 36 38 78 80 156 158 168 170 240 242	-1140314888700
SPT(16)	2565701529264972437	0 20 50 96 140 170 210 216 296 302 342 372 416 462 492 512	-724134786354
SPT(16)	2565701537335209887	0 6 12 60 120 132 174 194 252 272 314 326 386 434 440 446	-716064548904
SPT(16)	2565702027044933311	0 16 28 30 126 138 150 156 160 166 178 190 286 288 300 316	-226354825480
SPT(16)	2565702689516292353	0 44 56 80 126 164 186 198 266 278 300 338 384 408 420 464	436116533562
STPT(10)	2565703416436659617	0 2 24 26 42 44 60 62 84 86	1163036900826
SPT(16)	2565703680710416867	0 54 96 106 126 150 186 192 274 280 316 340 360 370 412 466	1427310658076
SPT(16)	2565703826353144901	0 26 36 56 78 86 158 180 218 240 312 320 342 362 372 398	1572953386110
STPT(10)	2565703904135513807	0 2 12 14 42 44 72 74 84 86	1650735755016