Prime p₀= 2956913490718203971 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 26 22 48 86 16 18 20 46 20 18 16 86 48 22 26 (?)
a_n: 0 26 48 96 182 198 216 236 282 302 320 336 422 470 492 518
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: 518
Found by: Orange Kid
db: batch=82, k=16, 26 22 48 86 16 18 20 46

SPT(18)	2956912367841620509	0 18 24 28 54 72 88 112 142 180 210 234 250 268 294 298 304 322	-1122876583462
SPT(16)	2956912735389148169	0 12 14 30 32 72 128 132 140 144 200 240 242 258 260 272	-755329055802
TPT(14)	2956912803665993057	0 2 42 44 132 134 144 146 174 176 210 212 270 272	-687052210914
STPT(10)	2956912929665242517	0 2 54 56 72 74 90 92 144 146	-561052961454
SPT(16)	2956913253882393101	0 18 36 50 92 116 140 150 158 168 192 216 258 272 290 308	-236835810870
SPT(16)	2956913309221243667	0 36 54 92 162 176 180 192 224 236 240 254 324 362 380 416	-181496960304
TPT(14)	2956913533835632079	0 2 18 20 60 62 102 104 198 200 300 302 372 374	43117428108
STPT(10)	2956913582992834217	0 2 30 32 42 44 54 56 84 86	92274630246
SPT(16)	2956914306435580031	0 2 36 60 102 128 158 186 242 270 300 326 368 392 426 428	815717376060
STPT(10)	2956914425051222729	0 2 42 44 60 62 78 80 120 122	934333018758
STPT(10)	2956914467168245427	0 2 30 32 42 44 54 56 84 86	976450041456