Prime p₀= 2419508577056818063 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 36 2 12 6 4 98 10 98 4 6 12 2 36 10 (?)
a_n: 0 10 46 48 60 66 70 168 178 276 280 286 298 300 336 346
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: 346
Found by: SEARCHER
db: batch=82, k=16, 10 36 2 12 6 4 98 10

SPT(16)	2419506908066400721	0 6 10 28 48 90 106 126 142 162 178 220 240 258 262 268	-1668990417342
SPT(16)	2419507395382056361	0 42 48 70 166 198 228 238 270 280 310 342 438 460 466 508	-1181674761702
SPT(16)	2419507411829242403	0 50 56 74 86 174 186 240 284 338 350 438 450 468 474 524	-1165227575660
SPT(13)	2419508221319910307	0 30 72 90 132 144 192 240 252 294 312 354 384	-355736907756
SPT(16)	2419508231926715939	0 60 62 72 74 84 92 114 188 210 218 228 230 240 242 302	-345130102124
SPT(16)	2419508331354859861	0 6 22 28 76 78 112 216 232 336 370 372 420 426 442 448	-245701958202
STPT(10)	2419508582883335861	0 2 30 32 78 80 126 128 156 158	5826517798
SPT(16)	2419508643110654281	0 6 40 42 70 106 120 130 162 172 186 222 250 252 286 292	66053836218
STPT(10)	2419508932109546267	0 2 12 14 42 44 72 74 84 86	355052728204
SPT(16)	2419509455956034971	0 18 42 70 78 88 102 106 222 226 240 250 258 286 310 328	878899216908
SPT(16)	2419509987364366859	0 14 74 84 218 228 254 330 362 438 464 474 608 618 678 692	1410307548796