Prime p₀= 2713627013210778757 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 28 2 58 8 16 26 22 26 16 8 58 2 28 24 (?)
a_n: 0 24 52 54 112 120 136 162 184 210 226 234 292 294 322 346
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: 346
Found by: JayPi
db: batch=82, k=16, 24 28 2 58 8 16 26 22

SPT(16)	2713624510797307091	0 18 66 80 110 116 140 158 168 186 210 216 246 260 308 326	-2502413471666
STPT(10)	2713624531394953871	0 2 30 32 78 80 126 128 156 158	-2481815824886
STPT(10)	2713624857421137431	0 2 30 32 78 80 126 128 156 158	-2155789641326
STPT(10)	2713625285621249141	0 2 6 8 18 20 30 32 36 38	-1727589529616
SPT(16)	2713625334069926299	0 52 60 100 102 112 114 118 144 148 150 160 162 202 210 262	-1679140852458
SPT(16)	2713626357758533541	0 32 60 86 108 186 198 212 246 260 272 350 372 398 426 458	-655452245216
STPT(10)	2713627116873742019	0 2 18 20 30 32 42 44 60 62	103662963262
STPT(10)	2713627486324256111	0 2 30 32 78 80 126 128 156 158	473113477354
TPT(14)	2713627711994382497	0 2 72 74 84 86 210 212 222 224 312 314 354 356	698783603740
STPT(10)	2713627986341425301	0 2 30 32 78 80 126 128 156 158	973130646544
STPT(10)	2713628034369974459	0 2 48 50 90 92 132 134 180 182	1021159195702