Prime p₀= 2846344852628318579 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 38 4 38 34 60 24 32 22 32 24 60 34 38 4 38 (?)
a_n: 0 38 42 80 114 174 198 230 252 284 308 368 402 440 444 482
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: 482
Found by: JayPi
db: batch=82, k=16, 38 4 38 34 60 24 32 22

SPT(16)	2846342401445013743	0 38 48 56 74 90 128 150 164 186 224 240 258 266 276 314	-2451183304836
STPT(10)	2846342409164714417	0 2 60 62 72 74 84 86 144 146	-2443463604162
STPT(10)	2846342430690763619	0 2 18 20 30 32 42 44 60 62	-2421937554960
SPT(16)	2846342564503583137	0 10 16 24 40 42 54 66 130 142 154 156 172 180 186 196	-2288124735442
TPT(14)	2846342846289795779	0 2 12 14 78 80 120 122 180 182 288 290 330 332	-2006338522800
SPT(16)	2846344600383849973	0 4 18 24 78 136 144 150 154 160 168 226 280 286 300 304	-252244468606
STPT(10)	2846345055713139857	0 2 30 32 60 62 90 92 120 122	203084821278
SPT(16)	2846345058188244377	0 6 14 116 150 156 174 176 240 242 260 266 300 402 410 416	205559925798
STPT(10)	2846345864250774209	0 2 18 20 30 32 42 44 60 62	1011622455630
STPT(10)	2846345879804528219	0 2 18 20 30 32 42 44 60 62	1027176209640
STPT(10)	2846346269600807789	0 2 48 50 90 92 132 134 180 182	1416972489210