Prime p₀= 2514122700684751489 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 30 2 42 36 12 18 16 18 12 36 42 2 30 58 (?)
a_n: 0 58 88 90 132 168 180 198 214 232 244 280 322 324 354 412
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: 412
Found by: JayPi
db: batch=82, k=16, 58 30 2 42 36 12 18 16

SPT(16)	2514120254422764919	0 60 70 112 130 144 148 172 180 204 208 222 240 282 292 352	-2446261986570
STPT(12)	2514121004543362127	0 2 12 14 42 44 60 62 90 92 102 104	-1696141389362
STPT(10)	2514121182405729971	0 2 6 8 48 50 90 92 96 98	-1518279021518
STPT(10)	2514121245128728601	0 2 36 38 78 80 120 122 156 158	-1455556022888
STPT(10)	2514121588137805727	0 2 12 14 72 74 132 134 144 146	-1112546945762
STPT(10)	2514122435357061377	0 2 30 32 60 62 90 92 120 122	-265327690112
SPT(16)	2514122777994629539	0 28 48 52 108 162 178 210 232 264 280 334 390 394 414 442	77309878050
STPT(10)	2514123017594315987	0 2 30 32 72 74 114 116 144 146	316909564498
STPT(10)	2514123170415174299	0 2 18 20 60 62 102 104 120 122	469730422810
SPT(16)	2514123249565402889	0 12 18 42 78 102 122 140 222 240 260 284 320 344 350 362	548880651400
SPT(16)	2514123543137794169	0 14 102 108 150 162 212 240 332 360 410 422 464 470 558 572	842453042680