Prime p₀= 2127776092148272109 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 10 24 26 6 48 28 2 28 48 6 26 24 10 8 (?)
a_n: 0 8 18 42 68 74 122 150 152 180 228 234 260 284 294 302
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: 302
Found by: retroactivemind
db: batch=80, k=16, 8 10 24 26 6 48 28 2

SPT(16)	2127774798135103501	0 18 48 66 72 88 90 112 156 178 180 196 202 220 250 268	-1294013168608
SPT(16)	2127774900205708531	0 40 42 82 112 150 196 250 252 306 352 390 420 460 462 502	-1191942563578
SPT(16)	2127775442266082953	0 10 16 18 58 70 88 108 148 168 186 198 238 240 246 256	-649882189156
STPT(10)	2127775462247582669	0 2 18 20 30 32 42 44 60 62	-629900689440
TPT(14)	2127775509888368297	0 2 42 44 102 104 222 224 234 236 240 242 270 272	-582259903812
STPT(10)	2127776041200872771	0 2 36 38 78 80 120 122 156 158	-50947399338
SPT(16)	2127776691641868661	0 102 106 142 172 192 270 286 312 328 406 426 456 492 496 598	599493596552
STPT(10)	2127776773222252037	0 2 12 14 42 44 72 74 84 86	681073979928
SPT(16)	2127777104585174453	0 8 38 48 66 90 104 108 206 210 224 248 266 276 306 314	1012436902344
STPT(10)	2127777140248205177	0 2 30 32 42 44 54 56 84 86	1048099933068
TPT(14)	2127777590545721459	0 2 48 50 90 92 132 134 168 170 228 230 270 272	1498397449350