Prime p₀= 1268599509581549917 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 40 14 12 30 54 6 22 6 54 30 12 14 40 36 (?)
a_n: 0 36 76 90 102 132 186 192 214 220 274 304 316 330 370 406
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: 406
Found by: Megacruncher
db: batch=77, k=16, 36 40 14 12 30 54 6 22

SPT(16)	1268598727265029361	0 18 38 42 50 78 146 180 188 222 290 318 326 330 350 368	-782316520556
SPT(16)	1268598773482590677	0 14 36 54 56 92 164 182 204 222 294 330 332 350 372 386	-736098959240
SPT(16)	1268598795428028881	0 26 32 38 50 66 102 120 308 326 362 378 390 396 402 428	-714153521036
SPT(16)	1268598795925320661	0 6 16 60 70 72 76 180 202 306 310 312 322 366 376 382	-713656229256
SPT(16)	1268599431928154759	0 30 104 114 138 140 170 180 182 192 222 224 248 258 332 362	-77653395158
SPT(16)	1268599442660116649	0 12 20 62 68 102 134 140 222 228 260 294 300 342 350 362	-66921433268
STPT(10)	1268600309987372039	0 2 18 20 30 32 42 44 60 62	800405822122
STPT(10)	1268600398426631507	0 2 30 32 42 44 54 56 84 86	888845081590
STPT(10)	1268600411790789107	0 2 30 32 60 62 90 92 120 122	902209239190
TPT(14)	1268600542486730639	0 2 90 92 222 224 300 302 378 380 420 422 468 470	1032905180722
SPT(16)	1268600651508075859	0 52 54 94 138 142 162 168 334 340 360 364 408 448 450 502	1141926525942