Prime p₀= 1012199728870279919 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 28 18 20 6 18 12 64 12 18 6 20 18 28 2 (?)
a_n: 0 2 30 48 68 74 92 104 168 180 198 204 224 242 270 272
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: Theadalus
db: batch=76, k=16, 2 28 18 20 6 18 12 64

SPT(16)	1012198369206067019	0 8 20 78 140 144 218 228 260 270 344 348 410 468 480 488	-1359664212900
STPT(12)	1012198988411403929	0 2 48 50 78 80 132 134 162 164 210 212	-740458875990
SPT(16)	1012199259224721647	0 30 56 74 102 122 144 170 186 212 234 254 282 300 326 356	-469645558272
SPT(16)	1012199334049837027	0 22 54 66 100 120 154 156 160 162 196 216 250 262 294 316	-394820442892
SPT(16)	1012199475355789691	0 12 20 48 182 188 200 248 252 300 312 318 452 480 488 500	-253514490228
SPT(16)	1012199643973021013	0 48 56 80 234 276 278 290 324 336 338 380 534 558 566 614	-84897258906
SPT(16)	1012199766226313411	0 6 60 96 108 138 152 162 206 216 230 260 272 308 362 368	37356033492
TPT(14)	1012200022181535827	0 2 54 56 120 122 132 134 204 206 234 236 330 332	293311255908
TPT(16)	1012200165089704637	0 2 12 14 72 74 102 104 132 134 144 146 210 212 222 224	436219424718
STPT(10)	1012200288526953731	0 2 6 8 18 20 30 32 36 38	559656673812
STPT(10)	1012200350467295357	0 2 30 32 42 44 54 56 84 86	621597015438