Prime p₀= 2568381393114156163 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 32 12 6 46 6 14 64 14 6 46 6 12 32 34 (?)
a_n: 0 34 66 78 84 130 136 150 214 228 234 280 286 298 330 364
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: 364
Found by: JayPi
db: batch=82, k=16, 34 32 12 6 46 6 14 64

SPT(16)	2568379567168587103	0 16 40 46 64 66 106 156 178 228 268 270 288 294 318 334	-1825945569060
SPT(16)	2568379570200136193	0 30 54 86 90 116 146 156 158 168 198 224 228 260 284 314	-1822914019970
STPT(10)	2568379834634843387	0 2 30 32 72 74 114 116 144 146	-1558479312776
SPT(16)	2568380412704278681	0 112 168 178 208 222 238 252 256 270 286 300 330 340 396 508	-980409877482
SPT(16)	2568381085913390197	0 10 24 46 90 130 142 160 186 204 216 256 300 322 336 346	-307200765966
SPT(16)	2568381345611911867	0 10 42 64 136 154 226 232 234 240 312 330 402 424 456 466	-47502244296
SPT(16)	2568382133957553079	0 4 18 78 84 108 150 214 228 292 334 358 364 424 438 442	740843396916
TPT(14)	2568382351249885367	0 2 114 116 162 164 222 224 234 236 264 266 372 374	958135729204
STPT(10)	2568382417596358877	0 2 132 134 192 194 252 254 384 386	1024482202714
SPT(16)	2568382536163659779	0 2 32 44 54 84 92 98 114 120 128 158 168 180 210 212	1143049503616
STPT(10)	2568382604392820387	0 2 12 14 42 44 72 74 84 86	1211278664224