Prime p₀= 2687676701843231759 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 14 6 18 34 36 104 6 76 6 104 36 34 18 6 14 (?)
a_n: 0 14 20 38 72 108 212 218 294 300 404 440 474 492 498 512
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: 512
Found by: RFGuy_KCCO
db: batch=82, k=16, 14 6 18 34 36 104 6 76

SPT(16)	2687675753222276057	0 2 26 44 132 150 152 164 282 294 296 314 402 420 444 446	-948620955702
SPT(20)	2687675921264404403	0 14 26 50 54 56 104 116 128 144 170 186 198 210 258 260 264 288 300 314	-780578827356
STPT(10)	2687675978687152877	0 2 54 56 72 74 90 92 144 146	-723156078882
SPT(16)	2687676145658598869	0 62 68 90 104 180 188 194 258 264 272 348 362 384 390 452	-556184632890
SPT(16)	2687676192427975657	0 12 16 30 54 124 126 132 244 250 252 322 346 360 364 376	-509415256102
SPT(16)	2687676200005681537	0 22 30 42 52 66 72 100 156 184 190 204 214 226 234 256	-501837550222
STPT(10)	2687676769302997907	0 2 30 32 42 44 54 56 84 86	67459766148
SPT(16)	2687676839704983067	0 42 60 64 90 132 142 144 172 174 184 226 252 256 274 316	137861751308
TPT(14)	2687676849835356479	0 2 18 20 42 44 48 50 78 80 102 104 168 170	147992124720
SPT(16)	2687677116856010003	0 8 50 116 134 170 186 230 324 368 384 420 438 504 546 554	415012778244
STPT(10)	2687677322132521217	0 2 72 74 102 104 132 134 204 206	620289289458