Prime p₀= 2310375913020285893 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 20 4 6 42 20 10 2 10 20 42 6 4 20 24 (?)
a_n: 0 24 44 48 54 96 116 126 128 138 158 200 206 210 230 254
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: 254
Found by: FritzB
db: batch=81, k=16, 24 20 4 6 42 20 10 2

SPT(16)	2310375376528652651	0 32 36 38 50 72 96 128 150 182 206 228 240 242 246 278	-536491633242
SPT(16)	2310375521909317559	0 2 12 54 60 98 114 210 212 308 324 362 368 410 420 422	-391110968334
SPT(16)	2310375603844029431	0 2 20 42 68 78 98 128 180 210 230 240 266 288 306 308	-309176256462
SPT(16)	2310375772722142357	0 4 30 52 66 70 72 82 84 94 96 100 114 136 162 166	-140298143536
SPT(16)	2310375841460092937	0 26 44 66 104 114 122 146 150 174 182 192 230 252 270 296	-71560192956
STPT(10)	2310375859362181319	0 2 18 20 60 62 102 104 120 122	-53658104574
SPT(16)	2310375913235357609	0 14 20 24 54 68 98 132 140 174 204 218 248 252 258 272	215071716
SPT(16)	2310376266340214249	0 20 24 30 48 78 132 150 272 290 344 374 392 398 402 422	353319928356
SPT(16)	2310376300586716709	0 8 12 14 32 42 62 74 78 90 110 120 138 140 144 152	387566430816
TPT(14)	2310376314612086729	0 2 150 152 162 164 222 224 282 284 318 320 390 392	401591800836
STPT(10)	2310376622437324247	0 2 42 44 72 74 102 104 144 146	709417038354