Prime p₀= 2568369440760985247 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2568368613043989781	0 82 88 100 132 138 160 168 172 180 202 208 240 252 258 340	-827716995466
STPT(10)	2568368661021233669	0 2 18 20 30 32 42 44 60 62	-779739751578
SPT(16)	2568368748030307543	0 40 66 114 124 154 156 166 168 178 180 210 220 268 294 334	-692730677704
SPT(16)	2568369247914621157	0 40 84 90 132 142 160 180 196 216 234 244 286 292 336 376	-192846364090
SPT(16)	2568369331133292487	0 10 36 40 52 76 82 106 210 234 240 264 276 280 306 316	-109627692760
SPT(16)	2568369366924156181	0 18 22 42 66 72 102 136 162 196 226 232 256 276 280 298	-73836829066
SPT(16)	2568369615147917041	0 6 28 48 60 82 112 126 142 156 186 208 220 240 262 268	174386931794
SPT(16)	2568369822184481881	0 12 30 46 82 118 166 210 298 342 390 426 462 478 496 508	381423496634
SPT(16)	2568370073705900221	0 6 28 30 70 76 106 118 150 162 192 198 238 240 262 268	632944914974
STPT(10)	2568370120479229247	0 2 30 32 42 44 54 56 84 86	679718244000
SPT(16)	2568370239486972469	0 90 120 138 148 154 160 168 280 288 294 300 310 328 358 448	798725987222