Prime p₀= 2377576920431203817 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: [SG-2W]Kurzer
db: batch=81, k=12, 2 28 2 10 2 16

TPT(14)	2377574440561698767	0 2 30 32 174 176 180 182 264 266 270 272 294 296	-2479869505050
STPT(10)	2377575706235441627	0 2 24 26 42 44 60 62 84 86	-1214195762190
STPT(10)	2377575742661454077	0 2 30 32 42 44 54 56 84 86	-1177769749740
SPT(16)	2377575793538249261	0 18 20 38 42 48 66 86 102 122 140 146 150 168 170 188	-1126892954556
STPT(10)	2377575960717510389	0 2 48 50 90 92 132 134 180 182	-959713693428
SPT(16)	2377576587306995533	0 16 18 84 90 96 106 114 130 138 148 154 160 226 228 244	-333124208284
STPT(10)	2377577853522620207	0 2 30 32 42 44 54 56 84 86	933091416390
SPT(16)	2377577906386546261	0 30 46 48 58 60 168 180 298 310 418 420 430 432 448 478	985955342444
STPT(10)	2377577941091353457	0 2 30 32 72 74 114 116 144 146	1020660149640
SPT(16)	2377577967850247497	0 34 54 70 82 90 100 150 184 234 244 252 264 280 300 334	1047419043680
SPT(16)	2377578096877789591	0 22 36 48 66 88 90 148 240 298 300 322 340 352 366 388	1176446585774