Prime p₀= 2428527229918835567 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)	2428526256587865869	0 24 44 54 92 102 114 122 240 248 260 270 308 318 338 362	-973330969698
STPT(10)	2428526335943314169	0 2 12 14 90 92 168 170 180 182	-893975521398
TPT(14)	2428526376223690331	0 2 66 68 78 80 96 98 180 182 210 212 240 242	-853695145236
STPT(10)	2428526670903335657	0 2 30 32 72 74 114 116 144 146	-559015499910
SPT(16)	2428526768939306671	0 76 130 136 180 186 238 258 340 360 412 418 462 468 522 598	-460979528896
STPT(10)	2428526899993877159	0 2 72 74 120 122 168 170 240 242	-329924958408
SPT(16)	2428527295845487027	0 22 24 36 66 72 120 142 204 226 274 280 310 322 324 346	65926651460
TPT(14)	2428527510869125619	0 2 42 44 48 50 132 134 198 200 228 230 312 314	280950290052
SPT(16)	2428528321736162159	0 8 50 152 170 174 182 230 282 330 338 342 360 462 504 512	1091817326592
SPT(16)	2428528413210490901	0 32 56 102 120 126 150 156 176 182 206 212 230 276 300 332	1183291655334
STPT(10)	2428528416059479211	0 2 30 32 78 80 126 128 156 158	1186140643644