Prime p₀= 1268597959729252151 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 2 28 12 26 34 6 32 28 32 6 34 26 12 28 2 (?)
a_n: 0 2 30 42 68 102 108 140 168 200 206 240 266 278 306 308
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: 308
Found by: Megacruncher
db: batch=77, k=16, 2 28 12 26 34 6 32 28

SPT(16)	1268596777315397239	0 28 40 58 72 112 120 138 184 202 210 250 264 282 294 322	-1182413854912
SPT(16)	1268596887233688329	0 18 48 78 84 98 168 188 240 260 330 344 350 380 410 428	-1072495563822
STPT(10)	1268597192395841981	0 2 30 32 78 80 126 128 156 158	-767333410170
SPT(16)	1268597605087233271	0 6 12 22 70 82 112 142 180 210 240 252 300 310 316 322	-354642018880
STPT(10)	1268597671798418321	0 2 6 8 48 50 90 92 96 98	-287930833830
SPT(16)	1268597775652940377	0 12 36 106 190 220 232 276 280 324 336 366 450 520 544 556	-184076311774
STPT(10)	1268598120940072421	0 2 36 38 78 80 120 122 156 158	161210820270
SPT(16)	1268598413472801581	0 42 102 140 150 176 200 228 230 258 282 308 318 356 416 458	453743549430
SPT(16)	1268598727265029361	0 18 38 42 50 78 146 180 188 222 290 318 326 330 350 368	767535777210
SPT(16)	1268598773482590677	0 14 36 54 56 92 164 182 204 222 294 330 332 350 372 386	813753338526
SPT(16)	1268598795428028881	0 26 32 38 50 66 102 120 308 326 362 378 390 396 402 428	835698776730