Prime p₀= 2066714737362626147 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: [SG-2W]Kurzer
db: batch=80, k=12, 2 10 2 10 2 4

STPT(10)	2066713048833151877	0 2 54 56 72 74 90 92 144 146	-1688529474270
SPT(16)	2066713104552572669	0 12 90 114 180 194 218 260 342 384 408 422 488 512 590 602	-1632810053478
STPT(10)	2066713227455888327	0 2 30 32 42 44 54 56 84 86	-1509906737820
SPT(16)	2066713268946130163	0 50 56 66 116 170 218 260 324 366 414 468 518 528 534 584	-1468416495984
STPT(10)	2066713574932553537	0 2 42 44 72 74 102 104 144 146	-1162430072610
STPT(10)	2066713595326766999	0 2 18 20 30 32 42 44 60 62	-1142035859148
STPT(10)	2066714750051598077	0 2 54 56 72 74 90 92 144 146	12688971930
SPT(16)	2066715173508090319	0 34 40 42 64 118 130 174 238 282 294 348 370 372 378 412	436145464172
SPT(16)	2066715206922059609	0 38 62 90 132 152 200 242 348 390 438 458 500 528 552 590	469559433462
SPT(16)	2066715228317293079	0 14 44 84 122 152 164 168 194 198 210 240 278 318 348 362	490954666932
TPT(14)	2066715478565360429	0 2 48 50 102 104 162 164 198 200 330 332 372 374	741202734282