Prime p₀= 2378099261425252397 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 134
Found by: [SG-2W]Kurzer
db: batch=81, k=12, 2 28 2 10 2 46

STPT(10)	2378097085084037477	0 2 30 32 42 44 54 56 84 86	-2176341214920
SPT(16)	2378097494943762947	0 32 50 80 84 92 102 122 144 164 174 182 186 216 234 266	-1766481489450
SPT(16)	2378097956583331231	0 6 36 90 96 130 142 196 216 270 282 316 322 376 406 412	-1304841921166
STPT(10)	2378098638154241789	0 2 48 50 90 92 132 134 180 182	-623271010608
TPT(14)	2378098756169930489	0 2 12 14 42 44 48 50 90 92 168 170 252 254	-505255321908
STPT(10)	2378098882332881759	0 2 42 44 60 62 78 80 120 122	-379092370638
SPT(16)	2378099943585594971	0 8 26 36 72 80 86 108 140 162 168 176 212 222 240 248	682160342574
SPT(16)	2378100235291674809	0 2 38 60 108 240 290 312 320 342 392 524 572 594 630 632	973866422412
STPT(10)	2378100317895491927	0 2 90 92 132 134 174 176 264 266	1056470239530
SPT(16)	2378100875520446911	0 16 28 30 58 90 118 156 190 228 256 288 316 318 330 346	1614095194514
STPT(10)	2378101200833027669	0 2 18 20 30 32 42 44 60 62	1939407775272