Prime p₀= 2597713008750073967 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2597711140552831739	0 2 42 44 60 62 78 80 120 122	-1868197242228
STPT(10)	2597711435812587461	0 2 6 8 48 50 90 92 96 98	-1572937486506
SPT(16)	2597711445995834249	0 14 20 30 32 68 90 98 174 182 204 240 242 252 258 272	-1562754239718
SPT(16)	2597711463001433021	0 12 20 26 78 122 176 188 210 222 276 320 372 378 386 398	-1545748640946
SPT(16)	2597711493190773833	0 14 18 60 74 98 144 164 174 194 240 264 278 320 324 338	-1515559300134
STPT(10)	2597711824853691101	0 2 6 8 48 50 90 92 96 98	-1183896382866
SPT(16)	2597713562434785877	0 12 60 66 90 124 150 172 294 316 342 376 400 406 454 466	553684711910
STPT(10)	2597714221879550099	0 2 18 20 30 32 42 44 60 62	1213129476132
SPT(16)	2597714734660075271	0 30 48 62 120 146 192 206 222 236 282 308 366 380 398 428	1725910001304
SPT(16)	2597714756186227927	0 36 82 90 120 124 130 142 144 156 162 166 196 204 250 286	1747436153960
STPT(10)	2597715103957420199	0 2 18 20 30 32 42 44 60 62	2095207346232