Prime p₀= 2813726555559739537 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 88 6 6 12 90 26 16 26 90 12 6 6 88 12 (?)
a_n: 0 12 100 106 112 124 214 240 256 282 372 384 390 396 484 496
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: 496
Found by: JayPi
db: batch=82, k=16, 12 88 6 6 12 90 26 16

SPT(16)	2813725259665980521	0 30 32 80 86 92 120 138 140 158 186 192 198 246 248 278	-1295893759016
STPT(10)	2813725452875509691	0 2 36 38 78 80 120 122 156 158	-1102684229846
SPT(16)	2813725546700679517	0 22 40 54 96 154 196 210 286 300 342 400 442 456 474 496	-1008859060020
SPT(16)	2813725799635603793	0 14 30 48 56 90 146 168 176 198 254 288 296 314 330 344	-755924135744
SPT(16)	2813726270197295861	0 48 132 162 182 248 258 272 276 290 300 366 386 416 500 548	-285362443676
STPT(10)	2813726380684639529	0 2 48 50 90 92 132 134 180 182	-174875100008
STPT(10)	2813726863614567809	0 2 18 20 30 32 42 44 60 62	308054828272
SPT(16)	2813727055261366949	0 14 24 78 90 132 134 144 248 258 260 302 314 368 378 392	499701627412
STPT(10)	2813727103251814367	0 2 72 74 102 104 132 134 204 206	547692074830
STPT(10)	2813727127742254049	0 2 18 20 30 32 42 44 60 62	572182514512
SPT(16)	2813727685354939741	0 22 36 76 82 126 138 168 370 400 412 456 462 502 516 538	1129795200204