Prime p₀= 1245825465930228577 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 10 26 24 6 12 22 134 22 12 6 24 26 10 6 (?)
a_n: 0 6 16 42 66 72 84 106 240 262 274 280 304 330 340 346
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: 346
Found by: Megacruncher
db: batch=77, k=16, 6 10 26 24 6 12 22 134

SPT(16)	1245823801563858247	0 22 54 106 132 220 222 234 262 274 276 364 390 442 474 496	-1664366370330
SPT(16)	1245823821550642417	0 4 42 54 70 124 144 150 154 160 180 234 250 262 300 304	-1644379586160
STPT(10)	1245823855231687559	0 2 18 20 60 62 102 104 120 122	-1610698541018
SPT(16)	1245824409531912523	0 18 36 84 106 108 154 174 190 210 256 258 280 328 346 364	-1056398316054
SPT(16)	1245824760291170093	0 30 48 56 86 90 116 156 158 198 224 228 258 266 284 314	-705639058484
SPT(16)	1245825125474932133	0 8 24 54 120 146 180 236 258 314 348 374 440 470 486 494	-340455296444
SPT(16)	1245825821014092013	0 16 36 108 148 150 166 168 178 180 196 198 238 310 330 346	355083863436
SPT(16)	1245825843758624147	0 42 54 66 84 104 122 144 182 204 222 242 260 272 284 326	377828395570
SPT(16)	1245825873492818263	0 6 10 18 76 84 118 150 214 246 280 288 346 354 358 364	407562589686
STPT(10)	1245825901867431959	0 2 42 44 90 92 138 140 180 182	435937203382
SPT(18)	1245825944324411953	0 6 40 90 96 144 154 210 214 216 220 276 286 334 340 390 424 430	478394183376