Prime p₀= 1268598795925320661 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 10 44 10 2 4 104 22 104 4 2 10 44 10 6 (?)
a_n: 0 6 16 60 70 72 76 180 202 306 310 312 322 366 376 382
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: 382
Found by: Megacruncher
db: batch=77, k=16, 6 10 44 10 2 4 104 22

SPT(16)	1268597959729252151	0 2 30 42 68 102 108 140 168 200 206 240 266 278 306 308	-836196068510
STPT(10)	1268598120940072421	0 2 36 38 78 80 120 122 156 158	-674985248240
SPT(16)	1268598413472801581	0 42 102 140 150 176 200 228 230 258 282 308 318 356 416 458	-382452519080
SPT(16)	1268598727265029361	0 18 38 42 50 78 146 180 188 222 290 318 326 330 350 368	-68660291300
SPT(16)	1268598773482590677	0 14 36 54 56 92 164 182 204 222 294 330 332 350 372 386	-22442729984
SPT(16)	1268598795428028881	0 26 32 38 50 66 102 120 308 326 362 378 390 396 402 428	-497291780
SPT(16)	1268599431928154759	0 30 104 114 138 140 170 180 182 192 222 224 248 258 332 362	636002834098
SPT(16)	1268599442660116649	0 12 20 62 68 102 134 140 222 228 260 294 300 342 350 362	646734795988
SPT(16)	1268599509581549917	0 36 76 90 102 132 186 192 214 220 274 304 316 330 370 406	713656229256
STPT(10)	1268600309987372039	0 2 18 20 30 32 42 44 60 62	1514062051378
STPT(10)	1268600398426631507	0 2 30 32 42 44 54 56 84 86	1602501310846