Prime p₀= 2729471509534515721 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 120 22 8 52 32 10 68 10 32 52 8 22 120 6 (?)
a_n: 0 6 126 148 156 208 240 250 318 328 360 412 420 442 562 568
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: 568
Found by: JayPi
db: batch=82, k=16, 6 120 22 8 52 32 10 68

SPT(16)	2729470395454068569	0 78 84 108 120 134 144 158 174 188 198 212 224 248 254 332	-1114080447152
SPT(16)	2729470407025915361	0 2 12 30 32 50 56 86 102 132 138 156 158 176 186 188	-1102508600360
SPT(16)	2729470414635593303	0 78 90 108 140 146 174 210 254 290 318 324 356 374 386 464	-1094898922418
STPT(10)	2729470818678095069	0 2 42 44 90 92 138 140 180 182	-690856420652
SPT(16)	2729470856216698903	0 24 66 100 114 124 156 204 256 304 336 346 360 394 436 460	-653317816818
STPT(10)	2729471184652563677	0 2 42 44 72 74 102 104 144 146	-324881952044
STPT(10)	2729471524531417871	0 2 6 8 18 20 30 32 36 38	14996902150
STPT(10)	2729471542948675709	0 2 18 20 30 32 42 44 60 62	33414159988
STPT(10)	2729471801303107739	0 2 48 50 90 92 132 134 180 182	291768592018
SPT(16)	2729471929072723061	0 42 56 156 206 222 278 302 336 360 416 432 482 582 596 638	419538207340
STPT(10)	2729472050396452367	0 2 30 32 42 44 54 56 84 86	540861936646