Prime p₀= 3020953117592341829 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Alnitak2019
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	3020952072485517223	0 34 40 48 126 180 208 228 316 336 364 418 496 504 510 544	-1045106824606
STPT(10)	3020952196201228151	0 2 36 38 78 80 120 122 156 158	-921391113678
SPT(16)	3020952270185060957	0 14 20 30 72 120 170 174 182 186 236 284 326 336 342 356	-847407280872
SPT(18)	3020952408293155949	0 30 60 72 84 92 120 132 140 162 170 182 210 218 230 242 272 302	-709299185880
SPT(16)	3020952448967932331	0 20 68 72 90 110 132 152 186 206 228 248 266 270 318 338	-668624409498
STPT(10)	3020952948901717799	0 2 12 14 30 32 48 50 60 62	-168690624030
SPT(16)	3020953220125303451	0 18 36 42 60 120 162 176 282 296 338 398 416 422 440 458	102532961622
SPT(13)	3020953472326868159	0 12 42 60 90 120 132 144 174 204 222 252 264	354734526330
SPT(16)	3020953746579593221	0 12 18 52 78 108 130 132 166 168 190 220 246 280 286 298	628987251392
SPT(16)	3020953883178531761	0 2 30 86 90 128 132 140 258 266 270 308 312 368 396 398	765586189932
SPT(13)	3020954068777620809	0 18 30 78 84 108 114 120 144 150 198 210 228	951185278980