Prime p₀= 2739786997524422767 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 18 30 2 42 10 14 16 14 10 42 2 30 18 4 (?)
a_n: 0 4 22 52 54 96 106 120 136 150 160 202 204 234 252 256
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: 256
Found by: JayPi
db: batch=82, k=16, 4 18 30 2 42 10 14 16

STPT(10)	2739785657937011441	0 2 6 8 18 20 30 32 36 38	-1339587411326
SPT(16)	2739785910060339047	0 20 36 42 50 110 120 162 284 326 336 396 404 410 426 446	-1087464083720
SPT(16)	2739786157490703989	0 12 30 62 72 84 122 150 152 180 218 230 240 272 290 302	-840033718778
STPT(10)	2739786568654017899	0 2 30 32 120 122 210 212 240 242	-428870404868
STPT(10)	2739786854200297019	0 2 18 20 30 32 42 44 60 62	-143324125748
SPT(16)	2739786913969535411	0 60 62 78 120 170 186 212 216 242 258 308 350 366 368 428	-83554887356
SPT(16)	2739787889197133399	0 72 74 80 108 114 144 212 240 308 338 344 372 378 380 452	891672710632
SPT(16)	2739787933463501981	0 12 26 30 36 42 48 60 128 140 146 152 158 162 176 188	935939079214
STPT(10)	2739788444691928541	0 2 6 8 18 20 30 32 36 38	1447167505774
SPT(16)	2739788604520132933	0 4 10 18 28 88 118 150 154 186 216 276 286 294 300 304	1606995710166
SPT(16)	2739789725525980949	0 2 30 50 72 90 170 188 204 222 302 320 342 362 390 392	2728001558182