Prime p₀= 2966654750600748617 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: 116
Found by: Orange Kid
db: batch=82, k=12, 2 10 2 40 2 4

TPT(14)	2966652965402727239	0 2 42 44 72 74 132 134 168 170 270 272 468 470	-1785198021378
SPT(16)	2966653024347875089	0 34 42 54 100 184 220 250 504 534 570 654 700 712 720 754	-1726252873528
STPT(10)	2966654172722350079	0 2 12 14 30 32 48 50 60 62	-577878398538
STPT(10)	2966654188414879559	0 2 18 20 60 62 102 104 120 122	-562185869058
SPT(16)	2966654351707397669	0 24 30 132 152 192 212 272 300 360 380 420 440 542 548 572	-398893350948
STPT(10)	2966654497529375201	0 2 6 8 48 50 90 92 96 98	-253071373416
SPT(16)	2966654792894044657	0 10 42 54 72 82 124 126 280 282 324 334 352 364 396 406	42293296040
STPT(10)	2966654941680200567	0 2 30 32 42 44 54 56 84 86	191079451950
SPT(16)	2966654963997737741	0 2 18 60 72 110 218 242 306 330 438 476 488 530 546 548	213396989124
TPT(14)	2966655338701135997	0 2 12 14 60 62 144 146 192 194 222 224 234 236	588100387380
SPT(16)	2966655674559733459	0 4 64 88 150 168 202 232 300 330 364 382 444 468 528 532	923958984842