Prime p₀= 2309611930939432417 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 46 44 22 2 18 84 30 34 30 84 18 2 22 44 46 (?)
a_n: 0 46 90 112 114 132 216 246 280 310 394 412 414 436 480 526
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: 526
Found by: FritzB
db: batch=81, k=16, 46 44 22 2 18 84 30 34

TPT(14)	2309608296289737071	0 2 30 32 126 128 186 188 198 200 210 212 228 230	-3634649695346
TPT(14)	2309608750770930359	0 2 48 50 60 62 90 92 168 170 312 314 408 410	-3180168502058
SPT(16)	2309608985833982837	0 6 20 42 60 144 170 174 182 186 212 296 314 336 350 356	-2945105449580
STPT(10)	2309609953923190181	0 2 6 8 48 50 90 92 96 98	-1977016242236
TPT(14)	2309610450110462489	0 2 72 74 90 92 180 182 210 212 240 242 258 260	-1480828969928
SPT(16)	2309611017579217741	0 30 58 78 88 132 190 228 382 420 478 522 532 552 580 610	-913360214676
STPT(10)	2309612063435618969	0 2 18 20 30 32 42 44 60 62	132496186552
SPT(16)	2309612250069025333	0 48 66 70 90 106 126 208 216 298 318 334 354 358 376 424	319129592916
SPT(16)	2309612344900116679	0 12 22 54 78 112 114 142 180 208 210 244 268 300 310 322	413960684262
STPT(12)	2309612496031384877	0 2 12 14 54 56 90 92 132 134 144 146	565091952460
SPT(16)	2309612955906483187	0 30 36 64 72 94 102 114 142 154 162 184 192 220 226 256	1024967050770