Prime p₀= 2501728665302603629 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 28 14 4 2 60 34 44 34 60 2 4 14 28 12 (?)
a_n: 0 12 40 54 58 60 120 154 198 232 292 294 298 312 340 352
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: 352
Found by: JayPi
db: batch=82, k=16, 12 28 14 4 2 60 34 44

SPT(16)	2501727386242501063	0 10 48 70 100 108 126 238 306 418 436 444 474 496 534 544	-1279060102566
SPT(16)	2501727679070950387	0 4 24 30 36 72 84 114 142 172 184 220 226 232 252 256	-986231653242
TPT(14)	2501728025336201369	0 2 12 14 138 140 168 170 198 200 222 224 240 242	-639966402260
STPT(10)	2501728104351729509	0 2 12 14 90 92 168 170 180 182	-560950874120
SPT(16)	2501728256176534841	0 26 32 96 98 128 150 152 156 158 180 210 212 276 282 308	-409126068788
STPT(10)	2501728343588677961	0 2 6 8 18 20 30 32 36 38	-321713925668
STPT(10)	2501728729691228111	0 2 6 8 48 50 90 92 96 98	64388624482
SPT(16)	2501728842303283339	0 10 24 52 70 82 180 204 238 262 360 372 390 418 432 442	177000679710
STPT(10)	2501728989892824401	0 2 6 8 108 110 210 212 216 218	324590220772
SPT(16)	2501729296442506037	0 14 26 36 50 56 84 96 134 146 174 180 194 204 216 230	631139902408
STPT(10)	2501730132510915497	0 2 90 92 102 104 114 116 204 206	1467208311868