Prime p₀= 2720821691125943927 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 34 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 90 92 132 134 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=82, k=12, 2 10 2 40 2 34

STPT(10)	2720820483749358041	0 2 6 8 18 20 30 32 36 38	-1207376585886
SPT(16)	2720820545922401303	0 14 20 36 50 56 86 96 254 264 294 300 314 330 336 350	-1145203542624
SPT(16)	2720820709283678107	0 16 30 52 64 96 126 156 190 220 250 282 294 316 330 346	-981842265820
STPT(10)	2720821186116838631	0 2 30 32 78 80 126 128 156 158	-505009105296
SPT(16)	2720821368726786601	0 12 48 52 66 78 82 168 190 276 280 292 306 310 346 358	-322399157326
STPT(10)	2720821444952682287	0 2 60 62 72 74 84 86 144 146	-246173261640
TPT(14)	2720821928154466229	0 2 42 44 132 134 162 164 168 170 252 254 330 332	237028522302
SPT(16)	2720822731712918879	0 50 54 62 74 90 140 180 182 222 272 288 300 308 312 362	1040586974952
SPT(16)	2720822857725671483	0 26 50 68 74 98 140 198 206 264 306 330 336 354 378 404	1166599727556
SPT(16)	2720823678943452679	0 10 34 70 72 88 90 94 108 112 114 130 132 168 192 202	1987817508752
TPT(14)	2720823696519445469	0 2 30 32 42 44 78 80 252 254 318 320 348 350	2005393501542