Prime p₀= 2556514999682774657 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 86 6 100 24 8 10 12 14 12 10 8 24 100 6 86 (?)
a_n: 0 86 92 192 216 224 234 246 260 272 282 290 314 414 420 506
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: 506
Found by: JayPi
db: batch=82, k=16, 86 6 100 24 8 10 12 14

STPT(12)	2556513427372018097	0 2 12 14 42 44 60 62 90 92 102 104	-1572310756560
STPT(10)	2556513845292628889	0 2 48 50 90 92 132 134 180 182	-1154390145768
STPT(10)	2556514588459129547	0 2 12 14 42 44 72 74 84 86	-411223645110
SPT(16)	2556514603500367577	0 14 84 104 140 246 254 260 306 312 320 426 462 482 552 566	-396182407080
STPT(10)	2556514661016882677	0 2 42 44 72 74 102 104 144 146	-338665891980
SPT(16)	2556514679497504801	0 10 162 192 196 202 216 262 270 316 330 336 340 370 522 532	-320185269856
SPT(16)	2556515288292254693	0 50 68 96 164 224 228 248 306 326 330 390 458 486 504 554	288609480036
SPT(16)	2556515513342698007	0 14 44 60 72 80 104 132 182 210 234 242 254 270 300 314	513659923350
SPT(16)	2556516056342025221	0 90 138 146 176 198 210 236 240 266 278 300 330 338 386 476	1056659250564
SPT(16)	2556516116106213259	0 34 40 64 78 94 108 124 174 190 204 220 234 258 264 298	1116423438602
SPT(16)	2556516152847957437	0 54 96 102 144 156 186 252 254 320 350 362 404 410 452 506	1153165182780