Prime p₀= 2313279386709455663 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 18 6 4 42 14 10 20 10 14 42 4 6 18 20 (?)
a_n: 0 20 38 44 48 90 104 114 134 144 158 200 204 210 228 248
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: 248
Found by: Landjunge
db: batch=81, k=16, 20 18 6 4 42 14 10 20

SPT(16)	2313277847504648879	0 72 84 108 122 144 152 192 200 240 248 270 284 308 320 392	-1539204806784
STPT(10)	2313277902035492177	0 2 30 32 60 62 90 92 120 122	-1484673963486
TPT(14)	2313278600383077827	0 2 42 44 132 134 222 224 360 362 372 374 414 416	-786326377836
SPT(16)	2313279058904081197	0 4 24 52 100 102 112 114 172 174 184 186 234 262 282 286	-327805374466
SPT(16)	2313279088213360381	0 36 48 78 90 142 168 192 196 220 246 298 310 340 352 388	-298496095282
SPT(16)	2313279225397522891	0 12 28 42 88 120 148 172 246 270 298 330 376 390 406 418	-161311932772
SPT(16)	2313279494121240817	0 6 34 42 106 130 142 204 292 354 366 390 454 462 490 496	107411785154
TPT(14)	2313279522711389381	0 2 210 212 240 242 396 398 450 452 468 470 510 512	136001933718
STPT(10)	2313280366872480581	0 2 36 38 78 80 120 122 156 158	980163024918
SPT(13)	2313280483365379529	0 18 24 60 78 84 144 204 210 228 264 270 288	1096655923866
SPT(16)	2313280760844308201	0 6 48 62 90 122 150 162 176 188 216 248 276 290 332 338	1374134852538