Prime p₀= 2419508582883335861 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: SEARCHER
db: batch=82, k=10, 2 28 2 46 2

SPT(16)	2419507395382056361	0 42 48 70 166 198 228 238 270 280 310 342 438 460 466 508	-1187501279500
SPT(16)	2419507411829242403	0 50 56 74 86 174 186 240 284 338 350 438 450 468 474 524	-1171054093458
SPT(13)	2419508221319910307	0 30 72 90 132 144 192 240 252 294 312 354 384	-361563425554
SPT(16)	2419508231926715939	0 60 62 72 74 84 92 114 188 210 218 228 230 240 242 302	-350956619922
SPT(16)	2419508331354859861	0 6 22 28 76 78 112 216 232 336 370 372 420 426 442 448	-251528476000
SPT(16)	2419508577056818063	0 10 46 48 60 66 70 168 178 276 280 286 298 300 336 346	-5826517798
SPT(16)	2419508643110654281	0 6 40 42 70 106 120 130 162 172 186 222 250 252 286 292	60227318420
STPT(10)	2419508932109546267	0 2 12 14 42 44 72 74 84 86	349226210406
SPT(16)	2419509455956034971	0 18 42 70 78 88 102 106 222 226 240 250 258 286 310 328	873072699110
SPT(16)	2419509987364366859	0 14 74 84 218 228 254 330 362 438 464 474 608 618 678 692	1404481030998
SPT(13)	2419510113392095793	0 24 66 84 114 144 150 156 186 216 234 276 300	1530508759932