Prime p₀= 2123566446127509979 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 14 126 46 14 24 22 2 22 24 14 46 126 14 4 (?)
a_n: 0 4 18 144 190 204 228 250 252 274 298 312 358 484 498 502
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: 502
Found by: [SG-2W]Kurzer
db: batch=80, k=16, 4 14 126 46 14 24 22 2

STPT(10)	2123564399806815809	0 2 18 20 30 32 42 44 60 62	-2046320694170
SPT(16)	2123564652740311909	0 34 78 88 108 118 130 160 228 258 270 280 300 310 354 388	-1793387198070
SPT(16)	2123565047611614127	0 6 72 112 132 162 184 196 210 222 244 274 294 334 400 406	-1398515895852
SPT(16)	2123565108154382911	0 36 78 96 126 148 168 228 358 418 438 460 490 508 550 586	-1337973127068
STPT(10)	2123565195928244351	0 2 6 8 48 50 90 92 96 98	-1250199265628
STPT(10)	2123565456718894451	0 2 6 8 48 50 90 92 96 98	-989408615528
STPT(10)	2123566649818256087	0 2 30 32 42 44 54 56 84 86	203690746108
SPT(16)	2123567137256341723	0 24 78 100 136 150 178 190 204 216 244 258 294 316 370 394	691128831744
STPT(10)	2123567321826316571	0 2 6 8 18 20 30 32 36 38	875698806592
SPT(16)	2123568127506271133	0 18 74 86 90 128 140 156 158 174 186 224 228 240 296 314	1681378761154
SPT(18)	2123568245998126049	0 14 24 30 44 68 90 104 108 170 174 188 210 234 248 254 264 278	1799870616070