Prime p₀= 1571277432739074017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

STPT(10)	1571275462098679859	0 2 18 20 30 32 42 44 60 62	-1970640394158
STPT(10)	1571275795492553597	0 2 42 44 72 74 102 104 144 146	-1637246520420
SPT(20)	1571276017291664429	0 20 42 78 84 180 240 252 258 260 342 344 350 362 422 518 524 560 582 602	-1415447409588
SPT(16)	1571276329205917801	0 18 36 42 78 90 108 120 178 190 208 220 256 262 280 298	-1103533156216
SPT(16)	1571276541837021191	0 2 6 30 86 98 120 138 170 188 210 222 278 302 306 308	-890902052826
STPT(10)	1571276749729363277	0 2 12 14 42 44 72 74 84 86	-683009710740
STPT(10)	1571277485369211671	0 2 6 8 18 20 30 32 36 38	52630137654
STPT(10)	1571277858657367037	0 2 60 62 102 104 144 146 204 206	425918293020
STPT(10)	1571277936409540361	0 2 30 32 60 62 90 92 120 122	503670466344
SPT(16)	1571278056624518843	0 68 84 150 216 228 240 324 350 434 446 458 524 590 606 674	623885444826
TPT(14)	1571278205032682051	0 2 36 38 48 50 78 80 90 92 96 98 138 140	772293608034