Prime p₀= 416052556209400697 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 14 16 36 8 126 24 28 24 126 8 36 16 14 (?)
a_n: 0 14 30 66 74 200 224 252 276 402 410 446 462 476
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: 476
Found by: Cruncher Pete
db: batch=70, k=14, 14 16 36 8 126 24 28

SPT(14)	416052490204577311	0 16 42 66 82 88 112 126 150 156 172 196 222 238	-66004823386
SPT(14)	416052511640793353	0 8 14 54 170 204 210 254 260 294 410 450 456 464	-44568607344
SPT(14)	416052525125632903	0 6 18 36 40 54 118 126 190 204 208 226 238 244	-31083767794
SPT(14)	416052533641079207	0 20 32 56 66 90 116 126 152 176 186 210 222 242	-22568321490
SPT(14)	416052542367275017	0 36 54 72 114 142 154 222 234 262 304 322 340 376	-13842125680
TPT(12)	416052555808406969	0 2 60 62 72 74 102 104 168 170 180 182	-400993728
SPT(20)	416052560274560333	0 24 50 80 98 104 126 144 146 204 230 288 290 308 330 336 354 384 410 434	4065159636
SPT(14)	416052562816827707	0 12 30 36 42 56 72 140 156 170 176 182 200 212	6607427010
SPT(14)	416052566435083283	0 18 26 56 60 68 98 156 186 194 198 228 236 254	10225682586
SPT(14)	416052574634100301	0 46 88 102 108 112 160 228 276 280 286 300 342 388	18424699604
SPT(14)	416052622455828101	0 20 38 50 72 102 122 126 146 176 198 210 228 248	66246427404