Prime p₀= 2310470307342475139 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 12 50 6 4 18 38 4 38 18 4 6 50 12 30 (?)
a_n: 0 30 42 92 98 102 120 158 162 200 218 222 228 278 290 320
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: 320
Found by: FritzB
db: batch=81, k=16, 30 12 50 6 4 18 38 4

SPT(16)	2310469811301709063	0 18 24 58 88 90 108 130 138 160 178 180 210 244 250 268	-496040766076
SPT(16)	2310469914081144251	0 8 42 72 80 140 182 198 212 228 270 330 338 368 402 410	-393261330888
SPT(16)	2310470077586118397	0 4 22 42 52 54 76 82 174 180 202 204 214 234 252 256	-229756356742
STPT(10)	2310470100118984499	0 2 12 14 90 92 168 170 180 182	-207223490640
STPT(10)	2310470210966723621	0 2 6 8 48 50 90 92 96 98	-96375751518
SPT(16)	2310470222419445717	0 24 56 72 164 182 186 192 284 290 294 312 404 420 452 476	-84923029422
STPT(10)	2310470363010941849	0 2 12 14 90 92 168 170 180 182	55668466710
SPT(16)	2310470496716551313	0 20 36 84 134 200 204 216 224 236 240 306 356 404 420 440	189374076174
SPT(13)	2310470604301975393	0 48 120 180 186 210 258 306 330 336 396 468 516	296959500254
SPT(16)	2310470760016810459	0 12 40 124 144 148 154 168 214 228 234 238 258 342 370 382	452674335320
SPT(16)	2310470936180626519	0 24 42 48 84 132 198 210 222 234 300 348 384 390 408 432	628838151380