Prime p₀= 2556516116106213259 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 6 24 14 16 14 16 50 16 14 16 14 24 6 34 (?)
a_n: 0 34 40 64 78 94 108 124 174 190 204 220 234 258 264 298
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: 298
Found by: JayPi
db: batch=82, k=16, 34 6 24 14 16 14 16 50

STPT(10)	2556514661016882677	0 2 42 44 72 74 102 104 144 146	-1455089330582
SPT(16)	2556514679497504801	0 10 162 192 196 202 216 262 270 316 330 336 340 370 522 532	-1436608708458
SPT(16)	2556514999682774657	0 86 92 192 216 224 234 246 260 272 282 290 314 414 420 506	-1116423438602
SPT(16)	2556515288292254693	0 50 68 96 164 224 228 248 306 326 330 390 458 486 504 554	-827813958566
SPT(16)	2556515513342698007	0 14 44 60 72 80 104 132 182 210 234 242 254 270 300 314	-602763515252
SPT(16)	2556516056342025221	0 90 138 146 176 198 210 236 240 266 278 300 330 338 386 476	-59764188038
SPT(16)	2556516152847957437	0 54 96 102 144 156 186 252 254 320 350 362 404 410 452 506	36741744178
SPT(16)	2556516609354141743	0 30 56 60 134 144 170 194 210 234 260 270 344 348 374 404	493247928484
STPT(10)	2556516770430076547	0 2 30 32 60 62 90 92 120 122	654323863288
STPT(10)	2556516830919603119	0 2 72 74 120 122 168 170 240 242	714813389860
STPT(10)	2556516856971875561	0 2 30 32 78 80 126 128 156 158	740865662302