Prime p₀= 3917027950106561 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 70 2 16 2 22 2 58 2 (?)
a_n: 0 2 6 8 78 80 96 98 120 122 180 182
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: 182
Found by: Tomáš Brada
db: batch=61, k=12, 4 70 16 22 58

TPT(12)	3916975326800321	0 2 36 38 78 80 90 92 120 122 156 158	-52623306240
SPT(14)	3916996058907047	0 2 44 86 96 116 140 156 180 200 210 252 294 296	-31891199514
SPT(16)	3916997144137717	0 6 16 22 24 30 34 52 54 72 76 82 84 90 100 106	-30805968844
SPT(14)	3916997684614039	0 18 22 42 54 58 64 78 84 88 100 120 124 142	-30265492522
SPT(14)	3917005336697951	0 36 38 42 50 66 78 80 92 108 116 120 122 158	-22613408610
SPT(14)	3917015305581067	0 6 72 82 100 114 226 270 382 396 414 424 490 496	-12644525494
TPT(12)	3917041383093227	0 2 30 32 54 56 102 104 114 116 174 176	13432986666
TPT(12)	3917050605089747	0 2 30 32 54 56 102 104 144 146 180 182	22654983186
SPT(14)	3917062867506983	0 8 50 90 98 110 116 168 174 186 194 234 276 284	34917400422
SPT(14)	3917063298025909	0 12 28 40 82 198 234 238 274 390 432 444 460 472	35347919348
SPT(14)	3917071106763901	0 6 30 42 52 72 100 102 130 150 160 172 196 202	43156657340