Prime p₀= 2313419626967506427 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: vinn@[CNT]
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2313418574781879767	0 2 42 44 72 74 102 104 144 146	-1052185626660
STPT(10)	2313418576917249539	0 2 48 50 90 92 132 134 180 182	-1050050256888
STPT(10)	2313418624537383887	0 2 30 32 42 44 54 56 84 86	-1002430122540
SPT(16)	2313418787433115913	0 14 26 80 96 104 108 140 144 176 180 188 204 258 270 284	-839534390514
SPT(16)	2313419498573423143	0 18 28 60 94 100 156 180 184 208 264 270 304 336 346 364	-128394083284
STPT(10)	2313419601040430537	0 2 54 56 72 74 90 92 144 146	-25927075890
SPT(16)	2313419822327454289	0 22 60 130 144 172 184 270 274 360 372 400 414 484 522 544	195359947862
SPT(16)	2313420395907785951	0 2 86 92 128 138 176 210 218 252 290 300 336 342 426 428	768940279524
STPT(10)	2313420827768552387	0 2 12 14 42 44 72 74 84 86	1200801045960
TPT(14)	2313420918641121347	0 2 42 44 60 62 90 92 120 122 210 212 240 242	1291673614920
TPT(14)	2313420950271385679	0 2 18 20 48 50 72 74 132 134 138 140 168 170	1323303879252