Prime p₀= 2362617919585547567 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 32 48 24 22 38 18 34 74 34 18 38 22 24 48 32 (?)
a_n: 0 32 80 104 126 164 182 216 290 324 342 380 402 426 474 506
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: 506
Found by: [SG-2W]Kurzer
db: batch=81, k=16, 32 48 24 22 38 18 34 74

SPT(16)	2362616786100102979	0 12 30 52 54 100 118 130 222 234 252 298 300 322 340 352	-1133485444588
SPT(16)	2362617259316124583	0 6 48 64 70 84 100 136 138 174 190 204 210 226 268 274	-660269422984
SPT(16)	2362617471503572081	0 10 16 58 60 88 102 120 178 196 210 238 240 282 288 298	-448081975486
TPT(14)	2362617674204751671	0 2 30 32 66 68 78 80 108 110 120 122 138 140	-245380795896
STPT(10)	2362617702652957157	0 2 42 44 72 74 102 104 144 146	-216932590410
SPT(16)	2362617901683866797	0 12 22 34 40 60 84 120 136 172 196 216 222 234 244 256	-17901680770
SPT(16)	2362618221162868133	0 24 38 44 86 98 134 156 188 210 246 258 300 306 320 344	301577320566
STPT(10)	2362618690997793209	0 2 42 44 60 62 78 80 120 122	771412245642
SPT(16)	2362618785768540227	0 14 42 80 92 96 110 132 194 216 230 234 246 284 312 326	866182992660
SPT(16)	2362618863787616107	0 10 84 114 142 154 174 192 202 220 240 252 280 310 384 394	944202068540
STPT(10)	2362619194451679221	0 2 36 38 78 80 120 122 156 158	1274866131654