Prime p₀= 2307354819775654801 starts a Symmetric tuple of 13 consecutive primes (SPT).
d_n: 0 6 36 108 102 24 30 30 24 102 108 36 6 (?)
a_n: 0 6 42 150 252 276 306 336 360 462 570 606 612
All 13 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 612
Found by: JayPi
db: batch=81, k=13, 6 36 108 102 24 30

SPT(16)	2307352920982320667	0 54 70 82 102 114 172 180 184 192 250 262 282 294 310 364	-1898793334134
SPT(16)	2307353002864706569	0 28 54 64 70 90 154 160 168 174 238 258 264 274 300 328	-1816910948232
SPT(16)	2307353309600770091	0 30 56 66 78 138 168 170 246 248 278 338 350 360 386 416	-1510174884710
TPT(14)	2307353604147319379	0 2 12 14 42 44 78 80 198 200 210 212 240 242	-1215628335422
SPT(16)	2307354202634878109	0 72 102 164 174 192 212 240 242 270 290 308 318 380 410 482	-617140776692
SPT(16)	2307354438574534477	0 16 22 76 102 150 154 156 190 192 196 244 270 324 330 346	-381201120324
STPT(10)	2307354829429111211	0 2 36 38 78 80 120 122 156 158	9653456410
SPT(16)	2307354941429546149	0 12 42 72 78 100 124 138 154 168 192 214 220 250 280 292	121653891348
STPT(10)	2307355064582023847	0 2 30 32 42 44 54 56 84 86	244806369046
SPT(16)	2307355311651476117	0 6 36 44 80 96 104 150 236 282 290 306 342 350 380 386	491875821316
SPT(16)	2307355989437171993	0 6 60 74 80 104 110 138 236 264 270 294 300 314 368 374	1169661517192