Prime p₀= 2501869571106349259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [AF>Le_Pommier] Jerome_C2005
db: batch=82, k=10, 2 46 2 40 2

STPT(10)	2501868024849600761	0 2 6 8 48 50 90 92 96 98	-1546256748498
STPT(10)	2501868073778814437	0 2 54 56 72 74 90 92 144 146	-1497327534822
SPT(16)	2501868371585205251	0 26 48 62 72 116 128 156 182 210 222 266 276 290 312 338	-1199521144008
TPT(14)	2501868476191671239	0 2 30 32 42 44 48 50 78 80 132 134 162 164	-1094914678020
TPT(14)	2501868524851147271	0 2 108 110 120 122 156 158 180 182 198 200 276 278	-1046255201988
STPT(10)	2501869048304582399	0 2 18 20 60 62 102 104 120 122	-522801766860
SPT(16)	2501869587995440919	0 2 12 18 42 50 60 78 92 110 120 128 152 158 168 170	16889091660
STPT(10)	2501869829079065969	0 2 18 20 30 32 42 44 60 62	257972716710
STPT(10)	2501870044584358697	0 2 12 14 42 44 72 74 84 86	473478009438
SPT(16)	2501870056089914659	0 18 42 52 88 90 94 100 162 168 172 174 210 220 244 262	484983565400
SPT(16)	2501870114558364391	0 30 70 72 76 106 210 232 240 262 366 396 400 402 442 472	543452015132