Prime p₀= 1268597775652940377 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 24 70 84 30 12 44 4 44 12 30 84 70 24 12 (?)
a_n: 0 12 36 106 190 220 232 276 280 324 336 366 450 520 544 556
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: 556
Found by: Megacruncher
db: batch=77, k=16, 12 24 70 84 30 12 44 4

STPT(10)	1268596710524692091	0 2 6 8 48 50 90 92 96 98	-1065128248286
SPT(16)	1268596777315397239	0 28 40 58 72 112 120 138 184 202 210 250 264 282 294 322	-998337543138
SPT(16)	1268596887233688329	0 18 48 78 84 98 168 188 240 260 330 344 350 380 410 428	-888419252048
STPT(10)	1268597192395841981	0 2 30 32 78 80 126 128 156 158	-583257098396
SPT(16)	1268597605087233271	0 6 12 22 70 82 112 142 180 210 240 252 300 310 316 322	-170565707106
STPT(10)	1268597671798418321	0 2 6 8 48 50 90 92 96 98	-103854522056
SPT(16)	1268597959729252151	0 2 30 42 68 102 108 140 168 200 206 240 266 278 306 308	184076311774
STPT(10)	1268598120940072421	0 2 36 38 78 80 120 122 156 158	345287132044
SPT(16)	1268598413472801581	0 42 102 140 150 176 200 228 230 258 282 308 318 356 416 458	637819861204
SPT(16)	1268598727265029361	0 18 38 42 50 78 146 180 188 222 290 318 326 330 350 368	951612088984
SPT(16)	1268598773482590677	0 14 36 54 56 92 164 182 204 222 294 330 332 350 372 386	997829650300