Prime p₀= 2568370120479229247 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2568369331133292487	0 10 36 40 52 76 82 106 210 234 240 264 276 280 306 316	-789345936760
SPT(16)	2568369366924156181	0 18 22 42 66 72 102 136 162 196 226 232 256 276 280 298	-753555073066
STPT(10)	2568369440760985247	0 2 12 14 42 44 72 74 84 86	-679718244000
SPT(16)	2568369615147917041	0 6 28 48 60 82 112 126 142 156 186 208 220 240 262 268	-505331312206
SPT(16)	2568369822184481881	0 12 30 46 82 118 166 210 298 342 390 426 462 478 496 508	-298294747366
SPT(16)	2568370073705900221	0 6 28 30 70 76 106 118 150 162 192 198 238 240 262 268	-46773329026
SPT(16)	2568370239486972469	0 90 120 138 148 154 160 168 280 288 294 300 310 328 358 448	119007743222
STPT(10)	2568370355836306139	0 2 18 20 30 32 42 44 60 62	235357076892
STPT(10)	2568370665203111267	0 2 42 44 72 74 102 104 144 146	544723882020
TPT(14)	2568370750502651201	0 2 6 8 126 128 156 158 228 230 240 242 246 248	630023421954
TPT(14)	2568370770804925739	0 2 30 32 72 74 132 134 168 170 210 212 240 242	650325696492