Prime p₀= 2313420827768552387 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: WTBroughton
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2313418787433115913	0 14 26 80 96 104 108 140 144 176 180 188 204 258 270 284	-2040335436474
SPT(16)	2313419498573423143	0 18 28 60 94 100 156 180 184 208 264 270 304 336 346 364	-1329195129244
STPT(10)	2313419601040430537	0 2 54 56 72 74 90 92 144 146	-1226728121850
STPT(10)	2313419626967506427	0 2 30 32 42 44 54 56 84 86	-1200801045960
SPT(16)	2313419822327454289	0 22 60 130 144 172 184 270 274 360 372 400 414 484 522 544	-1005441098098
SPT(16)	2313420395907785951	0 2 86 92 128 138 176 210 218 252 290 300 336 342 426 428	-431860766436
TPT(14)	2313420918641121347	0 2 42 44 60 62 90 92 120 122 210 212 240 242	90872568960
TPT(14)	2313420950271385679	0 2 18 20 48 50 72 74 132 134 138 140 168 170	122502833292
STPT(10)	2313421004033464691	0 2 36 38 78 80 120 122 156 158	176264912304
STPT(10)	2313421217090880509	0 2 18 20 30 32 42 44 60 62	389322328122
SPT(16)	2313421240599694949	0 8 20 78 84 104 122 128 174 180 198 218 224 282 294 302	412831142562