Prime p₀= 1028080086135687887 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: Theadalus
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1028079404937885329	0 2 78 80 120 122 162 164 240 242	-681197802558
STPT(10)	1028079555923178257	0 2 30 32 72 74 114 116 144 146	-530212509630
STPT(10)	1028079591258579029	0 2 18 20 60 62 102 104 120 122	-494877108858
SPT(16)	1028079647547915769	0 4 72 102 112 118 148 174 478 504 534 540 550 580 648 652	-438587772118
SPT(16)	1028079888577186891	0 28 36 52 66 76 112 130 168 186 222 232 246 262 270 298	-197558500996
STPT(10)	1028080082282402921	0 2 36 38 78 80 120 122 156 158	-3853284966
TPT(14)	1028080468405371107	0 2 24 26 42 44 84 86 102 104 180 182 192 194	382269683220
STPT(10)	1028080484169118337	0 2 12 14 42 44 72 74 84 86	398033430450
STPT(10)	1028080567131756767	0 2 30 32 72 74 114 116 144 146	480996068880
SPT(16)	1028080690516118959	0 48 54 70 102 150 168 172 180 184 202 250 282 298 304 352	604380431072
SPT(18)	1028081273224628179	0 82 90 100 102 112 138 144 154 228 238 244 270 280 282 292 300 382	1187088940292