Prime p₀= 2469350546062152617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: JayPi
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2469348964872350137	0 10 70 96 106 132 150 154 162 166 184 210 220 246 306 316	-1581189802480
SPT(16)	2469349382031847937	0 26 56 86 110 144 174 222 284 332 362 396 420 450 480 506	-1164030304680
SPT(16)	2469349742649944827	0 12 30 40 54 112 124 154 180 210 222 280 294 304 322 334	-803412207790
SPT(16)	2469349928902882763	0 14 30 50 78 84 90 104 114 128 134 140 168 188 204 218	-617159269854
SPT(16)	2469350265917188211	0 18 78 110 126 132 162 176 192 206 236 242 258 290 350 368	-280144964406
STPT(10)	2469350432834031347	0 2 42 44 72 74 102 104 144 146	-113228121270
SPT(16)	2469350693856186731	0 86 90 132 138 152 170 206 222 258 276 290 296 338 342 428	147794034114
SPT(16)	2469350740215406261	0 12 42 70 142 156 196 198 310 312 352 366 438 466 496 508	194153253644
STPT(10)	2469351051310274567	0 2 42 44 72 74 102 104 144 146	505248121950
SPT(16)	2469351136994088803	0 36 54 78 108 110 134 158 186 210 234 236 266 290 308 344	590931936186
STPT(10)	2469351190507816367	0 2 30 32 42 44 54 56 84 86	644445663750