Prime p₀= 4506139146734168309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: [SG-2W]Kurzer
db: batch=85, k=10, 2 40 2 16 2

STPT(10)	4506137554011990971	0 2 6 8 48 50 90 92 96 98	-1592722177338
STPT(10)	4506137635829054549	0 2 42 44 60 62 78 80 120 122	-1510905113760
SPT(16)	4506137913641077333	0 118 154 156 166 180 184 204 250 270 274 288 298 300 336 454	-1233093090976
SPT(16)	4506138029536493659	0 24 70 72 78 102 108 130 162 184 190 214 220 222 268 292	-1117197674650
SPT(16)	4506138656610500177	0 30 50 72 74 104 120 140 204 224 240 270 272 294 314 344	-490123668132
SPT(16)	4506138751097697179	0 30 74 98 174 180 270 284 324 338 428 434 510 534 578 608	-395636471130
SPT(16)	4506140014881659197	0 52 54 60 72 106 114 154 222 262 270 304 316 322 324 376	868147490888
SPT(16)	4506140029943519939	0 2 38 54 72 74 90 104 108 122 138 140 158 174 210 212	883209351630
STPT(10)	4506140043540219521	0 2 90 92 108 110 126 128 216 218	896806051212
STPT(10)	4506140439573330821	0 2 6 8 48 50 90 92 96 98	1292839162512
STPT(10)	4506140599085424989	0 2 18 20 30 32 42 44 60 62	1452351256680