Prime p₀= 2353782198577351273 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 36 24 56 24 10 36 38 36 10 24 56 24 36 4 (?)
a_n: 0 4 40 64 120 144 154 190 228 264 274 298 354 378 414 418
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: 418
Found by: Xenon
db: batch=81, k=16, 4 36 24 56 24 10 36 38

STPT(10)	2353781643584083379	0 2 18 20 60 62 102 104 120 122	-554993267894
STPT(10)	2353781740291158377	0 2 54 56 72 74 90 92 144 146	-458286192896
SPT(16)	2353781804792101679	0 32 48 78 120 144 150 162 230 242 248 272 314 344 360 392	-393785249594
SPT(16)	2353781832579712169	0 110 120 140 174 188 218 224 258 264 294 308 342 362 372 482	-365997639104
SPT(16)	2353781835604846919	0 32 48 62 128 158 194 198 224 228 264 294 360 374 390 422	-362972504354
STPT(10)	2353782167612200007	0 2 42 44 72 74 102 104 144 146	-30965151266
SPT(13)	2353782430149059087	0 6 66 84 96 120 150 180 204 216 234 294 300	231571707814
SPT(16)	2353782471361617487	0 24 52 70 90 94 156 256 300 400 462 466 486 504 532 556	272784266214
SPT(16)	2353782863350775837	0 2 24 60 66 74 92 102 224 234 252 260 266 302 324 326	664773424564
STPT(10)	2353783954798609181	0 2 36 38 78 80 120 122 156 158	1756221257908
SPT(16)	2353784015425799161	0 6 28 72 90 106 108 160 228 280 282 298 316 360 382 388	1816848447888