Prime p₀= 2593606475946287447 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 22 2 4 2 22 2 58 2 (?)
a_n: 0 2 60 62 84 86 90 92 114 116 174 176
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: 176
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 58 2 22 2 4

SPT(16)	2593606093241071109	0 50 60 80 152 174 200 218 234 252 278 300 372 392 402 452	-382705216338
STPT(10)	2593606175993720087	0 2 30 32 72 74 114 116 144 146	-299952567360
STPT(10)	2593606246164583577	0 2 12 14 72 74 132 134 144 146	-229781703870
STPT(10)	2593606300324055381	0 2 30 32 78 80 126 128 156 158	-175622232066
SPT(16)	2593606382723274803	0 14 26 66 78 80 108 146 198 236 264 266 278 318 330 344	-93223012644
STPT(10)	2593606434403448237	0 2 42 44 72 74 102 104 144 146	-41542839210
SPT(16)	2593606803232957157	0 6 50 74 144 170 182 260 336 414 426 452 522 546 590 596	327286669710
TPT(14)	2593606951534429931	0 2 48 50 78 80 216 218 240 242 258 260 330 332	475588142484
STPT(10)	2593606978274676137	0 2 54 56 72 74 90 92 144 146	502328388690
SPT(16)	2593607463410130469	0 12 22 24 42 84 108 234 238 364 388 430 448 450 460 472	987463843022
STPT(10)	2593607514588886847	0 2 42 44 102 104 162 164 204 206	1038642599400