Prime p₀= 2310369024584220167 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: FritzB
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2310366981492675277	0 22 30 60 102 106 112 132 184 204 210 214 256 286 294 316	-2043091544890
STPT(10)	2310367293391446629	0 2 18 20 30 32 42 44 60 62	-1731192773538
SPT(16)	2310367520959954733	0 18 26 36 50 98 134 146 168 180 216 264 278 288 296 314	-1503624265434
STPT(10)	2310367529750009801	0 2 30 32 78 80 126 128 156 158	-1494834210366
TPT(14)	2310367952688999821	0 2 36 38 90 92 120 122 210 212 258 260 270 272	-1071895220346
SPT(16)	2310368530991534131	0 10 16 70 76 82 112 126 166 180 210 216 222 276 282 292	-493592686036
SPT(16)	2310369107320896893	0 8 56 60 68 84 90 96 98 104 110 126 134 138 186 194	82736676726
SPT(16)	2310369324637035877	0 10 12 22 52 70 90 112 144 166 186 204 234 244 246 256	300052815710
SPT(16)	2310369362343693571	0 18 46 70 76 96 118 142 156 180 202 222 228 252 280 298	337759473404
STPT(10)	2310369560210871041	0 2 36 38 78 80 120 122 156 158	535626650874
SPT(16)	2310370446878910211	0 42 46 78 112 130 168 208 210 250 288 306 340 372 376 418	1422294690044