Prime p₀= 1127399046294906557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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=76, k=10, 2 10 2 28 2

SPT(16)	1127398058476683893	0 14 20 74 104 116 128 146 168 186 198 210 240 294 300 314	-987818222664
STPT(10)	1127398155909652127	0 2 12 14 72 74 132 134 144 146	-890385254430
STPT(12)	1127398192729288769	0 2 42 44 90 92 210 212 258 260 300 302	-853565617788
SPT(16)	1127398469128869473	0 50 54 60 116 170 186 216 308 338 354 408 464 470 474 524	-577166037084
SPT(16)	1127398892382062941	0 16 60 70 82 148 172 238 300 366 390 456 468 478 522 538	-153912843616
STPT(10)	1127398893735444269	0 2 18 20 30 32 42 44 60 62	-152559462288
SPT(16)	1127399488632651043	0 18 106 118 120 148 154 210 214 270 276 304 306 318 406 424	442337744486
STPT(10)	1127399795918475221	0 2 6 8 18 20 30 32 36 38	749623568664
TPT(14)	1127399948227527251	0 2 30 32 60 62 90 92 96 98 198 200 210 212	901932620694
TPT(14)	1127400411946319057	0 2 24 26 54 56 72 74 120 122 282 284 444 446	1365651412500
SPT(16)	1127400474677244517	0 102 154 162 180 190 192 204 280 292 294 304 322 330 382 484	1428382337960