Prime p₀= 3022598022322263683 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 6 52 8 52 8 10 2 10 8 52 8 52 6 20 (?)
a_n: 0 20 26 78 86 138 146 156 158 168 176 228 236 288 294 314
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: 314
Found by: Ben
db: batch=82, k=16, 20 6 52 8 52 8 10 2

STPT(10)	3022596387948980189	0 2 42 44 90 92 138 140 180 182	-1634373283494
STPT(10)	3022596659771558447	0 2 30 32 42 44 54 56 84 86	-1362550705236
STPT(10)	3022597346947434857	0 2 12 14 42 44 72 74 84 86	-675374828826
SPT(16)	3022597399502038843	0 4 34 78 90 150 154 174 400 420 424 484 496 540 570 574	-622820224840
SPT(18)	3022597478068062259	0 10 52 78 114 172 184 208 234 268 294 318 330 388 424 450 492 502	-544254201424
STPT(10)	3022597729835360861	0 2 30 32 60 62 90 92 120 122	-292486902822
SPT(16)	3022598675785375259	0 44 72 140 144 150 170 264 410 504 524 530 534 602 630 674	653463111576
SPT(16)	3022598881251808697	0 72 90 174 186 264 296 326 390 420 452 530 542 626 644 716	858929545014
STPT(10)	3022599140526765221	0 2 36 38 78 80 120 122 156 158	1118204501538
SPT(16)	3022599171228441113	0 30 36 44 78 110 138 144 260 266 294 326 360 368 374 404	1148906177430
SPT(16)	3022599212216396297	0 50 56 66 86 114 144 156 170 182 212 240 260 270 276 326	1189894132614