Prime p₀= 2806800589747330247 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: JayPi
db: batch=82, k=12, 2 10 2 10 2 4

SPT(16)	2806798999499418761	0 6 32 62 90 92 122 146 246 270 300 302 330 360 386 392	-1590247911486
STPT(10)	2806799452227612167	0 2 60 62 72 74 84 86 144 146	-1137519718080
STPT(10)	2806799489322587609	0 2 48 50 90 92 132 134 180 182	-1100424742638
SPT(16)	2806800035082465707	0 74 110 150 152 182 284 294 302 312 414 444 446 486 522 596	-554664864540
TPT(14)	2806800429845145029	0 2 48 50 60 62 102 104 162 164 168 170 240 242	-159902185218
TPT(14)	2806800431060560211	0 2 156 158 198 200 270 272 300 302 408 410 426 428	-158686770036
SPT(16)	2806800678027964103	0 54 78 80 110 140 150 168 176 194 204 234 264 266 290 344	88280633856
SPT(16)	2806801062145923523	0 30 58 88 148 196 198 240 244 286 288 336 396 426 454 484	472398593276
SPT(16)	2806801067490843569	0 12 14 38 60 104 174 180 242 248 318 362 384 408 410 422	477743513322
SPT(16)	2806801224297606139	0 84 94 114 132 148 160 168 184 192 204 220 238 258 268 352	634550275892
SPT(16)	2806801325519055407	0 60 102 110 162 170 182 246 320 384 396 404 456 464 506 566	735771725160