Prime p₀= 2353704951902552429 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 58 2 46 2 58 2 40 2 (?)
a_n: 0 2 42 44 102 104 150 152 210 212 252 254
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: 254
Found by: suriv
db: batch=81, k=12, 2 40 2 58 2 46

STPT(10)	2353704065762223467	0 2 42 44 72 74 102 104 144 146	-886140328962
SPT(16)	2353704079978225963	0 16 28 30 46 84 94 114 130 150 160 198 214 216 228 244	-871924326466
SPT(16)	2353704140312112953	0 54 74 80 150 200 210 234 296 320 330 380 450 456 476 530	-811590439476
SPT(16)	2353704444314528233	0 24 66 88 106 108 148 174 190 216 256 258 276 298 340 364	-507588024196
SPT(16)	2353704467227055039	0 12 48 60 152 210 270 308 444 482 542 600 692 704 740 752	-484675497390
SPT(16)	2353704676806663043	0 6 24 30 34 76 90 94 96 100 114 156 160 166 184 190	-275095889386
SPT(16)	2353704979434925201	0 12 18 22 46 88 96 126 232 262 270 312 336 340 346 358	27532372772
SPT(16)	2353705199173461949	0 12 28 34 82 102 190 202 210 222 310 330 378 384 400 412	247270909520
SPT(16)	2353705228013382989	0 54 102 144 158 174 180 218 264 302 308 324 338 380 428 482	276110830560
STPT(10)	2353705310201471999	0 2 48 50 90 92 132 134 180 182	358298919570
TPT(14)	2353705521951147437	0 2 132 134 192 194 204 206 234 236 294 296 300 302	570048595008