Prime p₀= 2582814207237584231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

STPT(10)	2582811213222950711	0 2 78 80 138 140 198 200 276 278	-2994014633520
STPT(12)	2582811810140242829	0 2 12 14 42 44 78 80 108 110 120 122	-2397097341402
STPT(10)	2582812131359616227	0 2 30 32 42 44 54 56 84 86	-2075877968004
STPT(10)	2582812471931357789	0 2 12 14 30 32 48 50 60 62	-1735306226442
TPT(14)	2582813155539486227	0 2 24 26 42 44 54 56 330 332 360 362 372 374	-1051698098004
TPT(14)	2582813200343604647	0 2 24 26 42 44 72 74 150 152 210 212 282 284	-1006893979584
STPT(10)	2582814365540712131	0 2 6 8 48 50 90 92 96 98	158303127900
SPT(16)	2582814895773776011	0 78 102 112 118 126 166 190 228 252 292 300 306 316 340 418	688536191780
STPT(10)	2582814933483671231	0 2 36 38 78 80 120 122 156 158	726246087000
SPT(16)	2582815335280569547	0 12 16 30 46 90 112 114 142 144 166 210 226 240 244 256	1128042985316
SPT(16)	2582815457857111787	0 30 32 36 60 72 90 140 162 212 230 242 266 270 272 302	1250619527556