Prime p₀= 2310295617532104887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	2310294523728157597	0 36 96 130 142 154 184 186 190 192 222 234 246 280 340 376	-1093803947290
SPT(16)	2310294736171014511	0 28 36 52 66 90 100 132 136 168 178 202 216 232 240 268	-881361090376
STPT(10)	2310294840949984517	0 2 30 32 72 74 114 116 144 146	-776582120370
SPT(16)	2310295061307074363	0 26 30 36 54 56 60 84 170 194 198 200 218 224 228 254	-556225030524
SPT(16)	2310295287923813543	0 20 68 90 104 110 126 138 176 188 204 210 224 246 294 314	-329608291344
STPT(10)	2310295594069034321	0 2 36 38 78 80 120 122 156 158	-23463070566
SPT(16)	2310295974256551509	0 30 42 50 74 78 92 144 158 210 224 228 252 260 272 302	356724446622
SPT(16)	2310296702696765773	0 64 138 148 168 174 190 204 250 264 280 286 306 316 390 454	1085164660886
STPT(10)	2310296836653463127	0 2 30 32 42 44 54 56 84 86	1219121358240
SPT(16)	2310297303725063707	0 10 42 66 70 160 186 190 192 196 222 312 316 340 372 382	1686192958820
SPT(13)	2310297551224859591	0 6 30 48 90 156 168 180 246 288 306 330 336	1933692754704