Prime p₀= 502849369475210057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [H]auntjemima
db: batch=71, k=10, 2 22 2 16 2

TPT(12)	502849314147982559	0 2 30 32 60 62 90 92 102 104 168 170	-55327227498
SPT(14)	502849316078885401	0 66 70 90 106 162 198 370 406 462 478 498 502 568	-53396324656
SPT(14)	502849316626420681	0 36 42 88 100 108 120 178 190 198 210 256 262 298	-52848789376
TPT(12)	502849355912975009	0 2 12 14 72 74 120 122 180 182 210 212	-13562235048
SPT(14)	502849359295906471	0 30 52 90 118 120 150 160 190 192 220 258 280 310	-10179303586
SPT(14)	502849365625518809	0 8 14 42 62 72 80 132 140 150 170 198 204 212	-3849691248
SPT(14)	502849387990060511	0 26 32 156 158 180 222 266 308 330 332 456 462 488	18514850454
SPT(14)	502849402601502449	0 44 48 50 84 104 110 198 204 224 258 260 264 308	33126292392
SPT(14)	502849426565398271	0 32 36 42 50 56 80 168 192 198 206 212 216 248	57090188214
SPT(14)	502849427070136457	0 6 26 56 72 86 110 192 216 230 246 276 296 302	57594926400
SPT(14)	502849434944752339	0 48 54 100 112 118 124 198 204 210 222 268 274 322	65469542282