Prime p₀= 2310268886455353529 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 28 14 28 72 6 8 16 8 6 72 28 14 28 12 (?)
a_n: 0 12 40 54 82 154 160 168 184 192 198 270 298 312 340 352
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: 352
Found by: FritzB
db: batch=81, k=16, 12 28 14 28 72 6 8 16

SPT(18)	2310268077434116699	0 58 60 100 138 174 208 264 294 298 328 384 418 454 492 532 534 592	-809021236830
STPT(10)	2310268233693505541	0 2 30 32 78 80 126 128 156 158	-652761847988
TPT(14)	2310268259416584851	0 2 18 20 60 62 96 98 126 128 156 158 198 200	-627038768678
STPT(10)	2310268474079230667	0 2 30 32 60 62 90 92 120 122	-412376122862
STPT(10)	2310268636363010471	0 2 36 38 78 80 120 122 156 158	-250092343058
STPT(10)	2310268732450933997	0 2 30 32 42 44 54 56 84 86	-154004419532
SPT(16)	2310268905203898883	0 10 24 28 90 118 144 226 228 310 336 364 426 430 444 454	18748545354
STPT(10)	2310269702808996737	0 2 12 14 42 44 72 74 84 86	816353643208
SPT(16)	2310269822532567023	0 134 144 168 174 204 234 258 326 350 380 410 416 440 450 584	936077213494
SPT(16)	2310269941465030313	0 20 44 74 86 90 146 150 164 168 224 228 240 270 294 314	1055009676784
SPT(16)	2310269962119339229	0 42 78 114 120 142 154 190 192 228 240 262 268 304 340 382	1075663985700