Prime p₀= 1127466909062065991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 40 2 40 2 124 2 (?)
a_n: 0 2 126 128 168 170 210 212 336 338
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: 338
Found by: crashtech
db: batch=76, k=10, 2 124 2 40 2

TPT(14)	1127466394695266411	0 2 120 122 396 398 438 440 456 458 480 482 498 500	-514366799580
SPT(16)	1127466418944242557	0 4 22 34 60 82 112 126 130 144 174 196 222 234 252 256	-490117823434
SPT(16)	1127466529026246113	0 60 66 68 78 200 206 228 308 330 336 458 468 470 476 536	-380035819878
SPT(16)	1127466734904493859	0 12 24 68 110 150 182 194 348 360 392 432 474 518 530 542	-174157572132
SPT(16)	1127466775193917097	0 20 32 56 62 66 122 132 140 150 206 210 216 240 252 272	-133868148894
STPT(10)	1127466879995997377	0 2 12 14 72 74 132 134 144 146	-29066068614
SPT(16)	1127467209567787307	0 6 20 42 66 86 120 126 290 296 330 350 374 396 410 416	300505721316
SPT(16)	1127467539522412331	0 12 36 42 66 68 92 102 116 126 150 152 176 182 206 218	630460346340
STPT(10)	1127467546715872667	0 2 30 32 42 44 54 56 84 86	637653806676
STPT(10)	1127467577183235647	0 2 60 62 72 74 84 86 144 146	668121169656
STPT(10)	1127467670215202681	0 2 30 32 78 80 126 128 156 158	761153136690