Prime p₀= 3963146689345680607 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 12 8 16 20 36 18 232 18 36 20 16 8 12 4 (?)
a_n: 0 4 16 24 40 60 96 114 346 364 400 420 436 444 456 460
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: 460
Found by: Dingo
db: batch=84, k=16, 4 12 8 16 20 36 18 232

SPT(16)	3963145111715515501	0 46 70 76 96 130 132 172 180 220 222 256 276 282 306 352	-1577630165106
SPT(16)	3963145279258399837	0 12 54 66 100 102 114 154 252 292 304 306 340 352 394 406	-1410087280770
STPT(10)	3963145754955033971	0 2 36 38 78 80 120 122 156 158	-934390646636
SPT(16)	3963145863821924177	0 12 56 102 126 132 140 192 230 282 290 296 320 366 410 422	-825523756430
SPT(16)	3963145984730123677	0 12 52 54 132 136 160 246 250 336 360 364 442 444 484 496	-704615556930
TPT(16)	3963146306458033031	0 2 198 200 306 308 330 332 336 338 366 368 390 392 408 410	-382887647576
SPT(16)	3963146825863762919	0 20 50 54 92 152 174 180 182 188 210 270 308 312 342 362	136518082312
STPT(10)	3963147219116567561	0 2 30 32 78 80 126 128 156 158	529770886954
TPT(14)	3963147472309431431	0 2 18 20 156 158 180 182 198 200 240 242 306 308	782963750824
TPT(14)	3963147745080842387	0 2 12 14 42 44 60 62 102 104 144 146 222 224	1055735161780
SPT(16)	3963148848028626647	0 2 20 24 72 84 132 230 234 332 380 392 440 444 462 464	2158682946040