Prime p₀= 2868775669728507359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2868774278593745447	0 2 44 56 74 90 144 150 206 212 266 282 300 312 354 356	-1391134761912
STPT(10)	2868775006968608987	0 2 12 14 42 44 72 74 84 86	-662759898372
SPT(16)	2868775069408032221	0 8 20 42 90 108 132 182 198 248 272 290 338 360 372 380	-600320475138
TPT(14)	2868775159224219407	0 2 114 116 120 122 222 224 324 326 390 392 402 404	-510504287952
SPT(16)	2868775556155950107	0 2 20 44 62 84 104 122 132 150 170 192 210 234 252 254	-113572557252
SPT(16)	2868775636040205049	0 12 112 114 132 148 184 204 208 228 264 280 298 300 400 412	-33688302310
SPT(16)	2868776328947944951	0 72 118 126 132 198 222 228 280 286 310 376 382 390 436 508	659219437592
SPT(16)	2868776731026531421	0 40 52 66 78 108 172 178 180 186 250 280 292 306 318 358	1061298024062
SPT(16)	2868777063026630251	0 30 46 48 60 66 90 112 216 238 262 268 280 282 298 328	1393298122892
STPT(10)	2868777414510798599	0 2 48 50 90 92 132 134 180 182	1744782291240
SPT(16)	2868777781166139509	0 2 32 62 84 90 104 134 198 228 242 248 270 300 330 332	2111437632150