Prime p₀= 2310375913235357609 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 6 4 30 14 30 34 8 34 30 14 30 4 6 14 (?)
a_n: 0 14 20 24 54 68 98 132 140 174 204 218 248 252 258 272
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: 272
Found by: FritzB
db: batch=81, k=16, 14 6 4 30 14 30 34 8

SPT(16)	2310375521909317559	0 2 12 54 60 98 114 210 212 308 324 362 368 410 420 422	-391326040050
SPT(16)	2310375603844029431	0 2 20 42 68 78 98 128 180 210 230 240 266 288 306 308	-309391328178
SPT(16)	2310375772722142357	0 4 30 52 66 70 72 82 84 94 96 100 114 136 162 166	-140513215252
SPT(16)	2310375841460092937	0 26 44 66 104 114 122 146 150 174 182 192 230 252 270 296	-71775264672
STPT(10)	2310375859362181319	0 2 18 20 60 62 102 104 120 122	-53873176290
SPT(16)	2310375913020285893	0 24 44 48 54 96 116 126 128 138 158 200 206 210 230 254	-215071716
SPT(16)	2310376266340214249	0 20 24 30 48 78 132 150 272 290 344 374 392 398 402 422	353104856640
SPT(16)	2310376300586716709	0 8 12 14 32 42 62 74 78 90 110 120 138 140 144 152	387351359100
TPT(14)	2310376314612086729	0 2 150 152 162 164 222 224 282 284 318 320 390 392	401376729120
STPT(10)	2310376622437324247	0 2 42 44 72 74 102 104 144 146	709201966638
SPT(16)	2310376795707457783	0 40 70 76 148 154 204 208 246 250 300 306 378 384 414 454	882472100174