Prime p₀= 1571275462098679859 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-2W]Kurzer
db: batch=78, k=10, 2 16 2 10 2

TPT(14)	1571274200870327087	0 2 12 14 24 26 30 32 114 116 162 164 180 182	-1261228352772
STPT(10)	1571274501453325577	0 2 30 32 42 44 54 56 84 86	-960645354282
STPT(10)	1571274745581871241	0 2 6 8 18 20 30 32 36 38	-716516808618
SPT(16)	1571274988958460991	0 36 52 72 130 132 150 162 226 238 256 258 316 336 352 388	-473140218868
TPT(14)	1571275064985712787	0 2 24 26 30 32 72 74 84 86 180 182 204 206	-397112967072
SPT(16)	1571275117706765929	0 22 24 34 58 82 84 108 124 148 150 174 198 208 210 232	-344391913930
STPT(10)	1571275795492553597	0 2 42 44 72 74 102 104 144 146	333393873738
SPT(20)	1571276017291664429	0 20 42 78 84 180 240 252 258 260 342 344 350 362 422 518 524 560 582 602	555192984570
SPT(16)	1571276329205917801	0 18 36 42 78 90 108 120 178 190 208 220 256 262 280 298	867107237942
SPT(16)	1571276541837021191	0 2 6 30 86 98 120 138 170 188 210 222 278 302 306 308	1079738341332
STPT(10)	1571276749729363277	0 2 12 14 42 44 72 74 84 86	1287630683418