Prime p₀= 2568380412704278681 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 112 56 10 30 14 16 14 4 14 16 14 30 10 56 112 (?)
a_n: 0 112 168 178 208 222 238 252 256 270 286 300 330 340 396 508
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 508
Found by: JayPi
db: batch=82, k=16, 112 56 10 30 14 16 14 4

SPT(16)	2568379242462004009	0 10 12 42 70 90 112 120 124 132 154 174 202 232 234 244	-1170242274672
STPT(10)	2568379251549528887	0 2 30 32 162 164 294 296 324 326	-1161154749794
SPT(16)	2568379550388372499	0 28 58 64 72 174 204 210 262 268 298 400 408 414 444 472	-862315906182
SPT(16)	2568379567168587103	0 16 40 46 64 66 106 156 178 228 268 270 288 294 318 334	-845535691578
SPT(16)	2568379570200136193	0 30 54 86 90 116 146 156 158 168 198 224 228 260 284 314	-842504142488
STPT(10)	2568379834634843387	0 2 30 32 72 74 114 116 144 146	-578069435294
SPT(16)	2568381085913390197	0 10 24 46 90 130 142 160 186 204 216 256 300 322 336 346	673209111516
SPT(16)	2568381345611911867	0 10 42 64 136 154 226 232 234 240 312 330 402 424 456 466	932907633186
SPT(16)	2568381393114156163	0 34 66 78 84 130 136 150 214 228 234 280 286 298 330 364	980409877482
SPT(16)	2568382133957553079	0 4 18 78 84 108 150 214 228 292 334 358 364 424 438 442	1721253274398
TPT(14)	2568382351249885367	0 2 114 116 162 164 222 224 234 236 264 266 372 374	1938545606686