Prime p₀= 2310227555276198197 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 16 30 12 44 10 20 4 20 10 44 12 30 16 24 (?)
a_n: 0 24 40 70 82 126 136 156 160 180 190 234 246 276 292 316
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: 316
Found by: FritzB
db: batch=81, k=16, 24 16 30 12 44 10 20 4

SPT(16)	2310226496079448907	0 24 30 44 86 114 132 134 162 164 182 210 252 266 272 296	-1059196749290
STPT(12)	2310226702837807067	0 2 12 14 72 74 150 152 210 212 222 224	-852438391130
SPT(16)	2310226869924507791	0 48 50 78 90 102 140 168 200 228 266 278 290 318 320 368	-685351690406
SPT(16)	2310226914622917383	0 74 80 120 168 218 240 246 458 464 486 536 584 624 630 704	-640653280814
SPT(16)	2310226962301326023	0 14 44 128 134 138 156 204 230 278 296 300 306 390 420 434	-592974872174
TPT(14)	2310227016699344381	0 2 18 20 36 38 78 80 90 92 156 158 216 218	-538576853816
SPT(16)	2310227753338425199	0 24 108 118 132 142 154 168 184 198 210 220 234 244 328 352	198062227002
SPT(16)	2310228308880399079	0 22 58 60 130 204 250 258 364 372 418 492 562 564 600 622	753604200882
TPT(14)	2310228614744324957	0 2 12 14 42 44 60 62 90 92 144 146 180 182	1059468126760
TPT(14)	2310228708616735637	0 2 12 14 84 86 90 92 120 122 132 134 150 152	1153340537440
STPT(10)	2310228821014341221	0 2 36 38 78 80 120 122 156 158	1265738143024