Prime p₀= 2362408863761191823 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 12 66 26 10 8 28 2 28 8 10 26 66 12 6 (?)
a_n: 0 6 18 84 110 120 128 156 158 186 194 204 230 296 308 314
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: 314
Found by: Landjunge
db: batch=81, k=16, 6 12 66 26 10 8 28 2

STPT(10)	2362407330364757231	0 2 6 8 48 50 90 92 96 98	-1533396434592
SPT(16)	2362407409975450417	0 4 6 10 34 144 172 250 306 384 412 522 546 550 552 556	-1453785741406
TPT(14)	2362407434474804219	0 2 18 20 138 140 180 182 312 314 348 350 360 362	-1429286387604
STPT(10)	2362407857967413027	0 2 72 74 102 104 132 134 204 206	-1005793778796
SPT(18)	2362407877620785041	0 28 40 42 76 78 82 126 130 168 172 216 220 222 256 258 270 298	-986140406782
STPT(10)	2362408285134059597	0 2 30 32 42 44 54 56 84 86	-578627132226
TPT(14)	2362409035765051307	0 2 72 74 114 116 192 194 270 272 390 392 402 404	172003859484
STPT(10)	2362409303601918479	0 2 18 20 30 32 42 44 60 62	439840726656
SPT(16)	2362409382606917341	0 70 76 88 130 166 168 172 216 220 222 258 300 312 318 388	518845725518
SPT(16)	2362409398518481259	0 44 72 80 114 230 264 278 294 308 342 458 492 500 528 572	534757289436
SPT(16)	2362409592968211361	0 28 42 58 108 142 150 168 172 190 198 232 282 298 312 340	729207019538