Prime p₀= 568116247059587803 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 36 18 22 14 10 26 22 26 10 14 22 18 36 (?)
a_n: 0 36 54 76 90 100 126 148 174 184 198 220 238 274
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 274
Found by: marsinph
db: batch=71, k=14, 36 18 22 14 10 26 22

SPT(16)	568116168468141421	0 6 22 78 120 172 192 220 228 256 276 328 370 426 442 448	-78591446382
SPT(16)	568116203150802829	0 12 18 22 28 130 160 162 220 222 252 354 360 364 370 382	-43908784974
SPT(14)	568116219959941273	0 4 24 64 78 88 96 118 126 136 150 190 210 214	-27099646530
SPT(14)	568116226156895341	0 22 58 90 126 132 148 210 226 232 268 300 336 358	-20902692462
TPT(12)	568116231896577491	0 2 30 32 78 80 156 158 210 212 330 332	-15163010312
SPT(14)	568116239719986101	0 30 50 72 126 156 158 180 182 212 266 288 308 338	-7339601702
SPT(14)	568116250009417847	0 12 14 20 30 104 170 216 282 356 366 372 374 386	2949830044
SPT(14)	568116270152153251	0 48 70 78 126 130 132 196 198 202 250 258 280 328	23092565448
SPT(14)	568116279549368533	0 48 60 70 88 96 100 144 148 156 174 184 196 244	32489780730
SPT(14)	568116333734456107	0 30 40 60 112 124 126 130 132 144 196 216 226 256	86674868304
SPT(14)	568116342008697959	0 50 192 200 210 218 228 284 294 302 312 320 462 512	94949110156