Prime p₀= 2813116680337778207 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

SPT(16)	2813116296840221461	0 12 22 78 82 102 162 166 192 196 256 276 280 336 346 358	-383497556746
STPT(10)	2813116383279424217	0 2 30 32 72 74 114 116 144 146	-297058353990
STPT(10)	2813116393582043399	0 2 42 44 90 92 138 140 180 182	-286755734808
TPT(14)	2813116520160749741	0 2 66 68 78 80 96 98 168 170 180 182 210 212	-160177028466
STPT(10)	2813116607805370619	0 2 18 20 30 32 42 44 60 62	-72532407588
SPT(16)	2813116634694710917	0 96 100 102 132 156 270 282 310 322 436 460 490 492 496 592	-45643067290
STPT(10)	2813116927802405891	0 2 6 8 18 20 30 32 36 38	247464627684
SPT(16)	2813117328135053089	0 24 28 52 90 100 118 148 204 234 252 262 300 324 328 352	647797274882
STPT(10)	2813117523845643101	0 2 6 8 48 50 90 92 96 98	843507864894
SPT(16)	2813117727101792503	0 28 66 70 94 126 130 156 268 294 298 330 354 358 396 424	1046764014296
STPT(10)	2813118083861701391	0 2 96 98 138 140 180 182 276 278	1403523923184