Prime p₀= 4044939578434079861 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 44 16 6 18 60 26 34 26 60 18 6 16 44 12 (?)
a_n: 0 12 56 72 78 96 156 182 216 242 302 320 326 342 386 398
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: 398
Found by: JonS
db: batch=84, k=16, 12 44 16 6 18 60 26 34

SPT(16)	4044938261912460953	0 56 60 68 74 80 98 120 374 396 414 420 426 434 438 494	-1316521618908
STPT(10)	4044938280681266789	0 2 42 44 60 62 78 80 120 122	-1297752813072
STPT(10)	4044938708202524681	0 2 6 8 48 50 90 92 96 98	-870231555180
STPT(10)	4044938803496490041	0 2 6 8 18 20 30 32 36 38	-774937589820
SPT(16)	4044938932604264881	0 36 46 82 88 148 228 238 300 310 390 450 456 492 502 538	-645829814980
STPT(12)	4044939167449691921	0 2 48 50 90 92 126 128 168 170 216 218	-410984387940
SPT(16)	4044939688435957931	0 68 78 98 110 156 180 188 210 218 242 288 300 320 330 398	110001878070
SPT(16)	4044939848240303273	0 18 66 86 108 114 156 158 216 218 260 266 288 308 356 374	269806223412
STPT(10)	4044940139894543969	0 2 48 50 60 62 72 74 120 122	561460464108
SPT(16)	4044940328578478339	0 44 72 98 114 150 174 240 272 338 362 398 414 440 468 512	750144398478
SPT(16)	4044940435972109851	0 16 30 108 126 136 150 156 172 178 192 202 220 298 312 328	857538029990