Prime p₀= 2290479447694232609 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: Landjunge
db: batch=81, k=12, 2 10 2 28 2 4

STPT(10)	2290478400869483597	0 2 84 86 132 134 180 182 264 266	-1046824749012
TPT(14)	2290478546897995451	0 2 30 32 60 62 96 98 126 128 186 188 228 230	-900796237158
STPT(10)	2290478616206238509	0 2 42 44 60 62 78 80 120 122	-831487994100
SPT(16)	2290479017656686179	0 12 30 68 72 92 122 164 198 240 270 290 294 332 350 362	-430037546430
SPT(16)	2290479294694950169	0 28 88 108 118 160 174 210 262 298 312 354 364 384 444 472	-152999282440
STPT(10)	2290479301014515789	0 2 12 14 90 92 168 170 180 182	-146679716820
STPT(10)	2290479725009540411	0 2 6 8 48 50 90 92 96 98	277315307802
SPT(16)	2290480042047063253	0 4 10 34 48 76 78 148 156 226 228 256 270 294 300 304	594352830644
TPT(14)	2290480049314500467	0 2 30 32 72 74 144 146 240 242 270 272 282 284	601620267858
STPT(10)	2290480272369955847	0 2 30 32 42 44 54 56 84 86	824675723238
SPT(16)	2290480555870199257	0 42 82 102 126 130 144 186 190 232 246 250 274 294 334 376	1108175966648