Prime p₀= 2570458336959686429 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 22 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 42 44 48 50 60 62
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: 62
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 10 2 4 2 22

TPT(14)	2570457148028188721	0 2 66 68 150 152 156 158 168 170 240 242 276 278	-1188931497708
SPT(16)	2570457465648538591	0 6 42 46 72 76 82 156 196 270 276 280 306 310 346 352	-871311147838
STPT(10)	2570457528837309869	0 2 18 20 30 32 42 44 60 62	-808122376560
STPT(10)	2570457934821016769	0 2 42 44 90 92 138 140 180 182	-402138669660
STPT(10)	2570458306030845779	0 2 48 50 90 92 132 134 180 182	-30928840650
TPT(14)	2570458307613386051	0 2 30 32 36 38 66 68 78 80 96 98 108 110	-29346300378
SPT(16)	2570458356507851599	0 18 34 52 84 88 114 118 234 238 264 268 300 318 334 352	19548165170
STPT(10)	2570458496633885327	0 2 30 32 42 44 54 56 84 86	159674198898
SPT(16)	2570458500685832593	0 16 84 114 124 196 198 298 336 436 438 510 520 550 618 634	163726146164
STPT(12)	2570458648596291449	0 2 12 14 42 44 120 122 150 152 162 164	311636605020
STPT(10)	2570459228467581557	0 2 30 32 42 44 54 56 84 86	891507895128