Prime p₀= 817124742076812887 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: [SG]FX
db: batch=73, k=10, 2 82 2 46 2

SPT(16)	817123679822984173	0 6 58 120 160 264 274 280 294 300 310 414 454 516 568 574	-1062253828714
TPT(14)	817123696306773857	0 2 42 44 84 86 180 182 210 212 234 236 240 242	-1045770039030
STPT(10)	817124194089151811	0 2 36 38 78 80 120 122 156 158	-547987661076
SPT(16)	817124309844285013	0 30 106 114 204 256 270 280 324 334 348 400 490 498 574 604	-432232527874
SPT(16)	817124587029330413	0 18 54 78 120 164 168 194 234 260 264 308 350 374 410 428	-155047482474
STPT(10)	817124625281685947	0 2 30 32 72 74 114 116 144 146	-116795126940
TPT(14)	817124870950949399	0 2 60 62 102 104 168 170 252 254 312 314 390 392	128874136512
TPT(14)	817124893993450961	0 2 18 20 78 80 90 92 198 200 216 218 228 230	151916638074
SPT(16)	817124971508643599	0 8 18 42 92 110 140 168 272 300 330 348 398 422 432 440	229431830712
SPT(16)	817125060227891083	0 100 126 166 214 240 250 286 294 330 340 366 414 454 480 580	318151078196
STPT(10)	817125345099379397	0 2 42 44 72 74 102 104 144 146	603022566510