Prime p₀= 2807581644433777997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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]ATA-Rolf
db: batch=82, k=10, 2 28 2 28 2

STPT(10)	2807580033016471379	0 2 18 20 30 32 42 44 60 62	-1611417306618
SPT(16)	2807580213214848517	0 12 40 52 54 64 102 130 144 172 210 220 222 234 262 274	-1431218929480
STPT(10)	2807580589708517471	0 2 30 32 60 62 90 92 120 122	-1054725260526
SPT(16)	2807580670374462331	0 82 88 100 138 160 196 238 270 312 348 370 408 420 426 508	-974059315666
SPT(16)	2807580952419889537	0 12 52 100 114 132 136 166 210 240 244 262 276 324 364 376	-692013888460
SPT(16)	2807581359782823839	0 14 54 122 144 152 158 204 248 294 300 308 330 398 438 452	-284650954158
SPT(16)	2807582272292123059	0 34 42 90 114 138 144 154 198 208 214 238 262 310 318 352	627858345062
SPT(16)	2807582531908036691	0 6 48 86 120 138 152 158 240 246 260 278 312 350 392 398	887474258694
STPT(10)	2807582952912183539	0 2 18 20 30 32 42 44 60 62	1308478405542
STPT(10)	2807582965356569999	0 2 18 20 30 32 42 44 60 62	1320922792002
STPT(10)	2807583079547599181	0 2 6 8 48 50 90 92 96 98	1435113821184