Prime p₀= 2591867564456403943 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 6 18 66 14 18 10 2 10 18 14 66 18 6 34 (?)
a_n: 0 34 40 58 124 138 156 166 168 178 196 210 276 294 300 334
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: 334
Found by: JayPi
db: batch=82, k=16, 34 6 18 66 14 18 10 2

SPT(16)	2591866667013639997	0 46 64 102 112 120 156 172 174 190 226 234 244 282 300 346	-897442763946
STPT(10)	2591866838391166619	0 2 48 50 90 92 132 134 180 182	-726065237324
SPT(16)	2591866844386334833	0 24 48 54 120 156 180 198 216 234 258 294 360 366 390 414	-720070069110
STPT(10)	2591866972753529291	0 2 168 170 198 200 228 230 396 398	-591702874652
SPT(16)	2591867481102276791	0 68 78 96 110 120 140 152 186 198 218 228 242 260 270 338	-83354127152
TPT(14)	2591867556168223439	0 2 42 44 192 194 198 200 210 212 330 332 390 392	-8288180504
SPT(16)	2591867695100066309	0 50 62 78 90 128 132 134 168 170 174 212 224 240 252 302	130643662366
STPT(10)	2591867726408997677	0 2 84 86 132 134 180 182 264 266	161952593734
SPT(16)	2591868953764897561	0 16 66 82 156 166 208 222 226 240 282 292 366 382 432 448	1389308493618
SPT(16)	2591868968543833351	0 28 42 52 58 118 172 192 196 216 270 330 336 346 360 388	1404087429408
STPT(10)	2591869092068735597	0 2 24 26 42 44 60 62 84 86	1527612331654