Prime p₀= 2579743006408188149 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

SPT(16)	2579742025616461411	0 10 16 52 58 60 82 132 136 186 208 210 216 252 258 268	-980791726738
SPT(16)	2579742150302217493	0 40 88 130 138 168 204 220 264 280 316 346 354 396 444 484	-856105970656
STPT(10)	2579742656545334867	0 2 30 32 72 74 114 116 144 146	-349862853282
STPT(10)	2579742850888880177	0 2 54 56 72 74 90 92 144 146	-155519307972
SPT(16)	2579742911674431889	0 58 60 114 154 168 198 204 298 304 334 348 388 442 444 502	-94733756260
TPT(14)	2579742963354344609	0 2 42 44 48 50 90 92 132 134 162 164 180 182	-43053843540
STPT(10)	2579743078145770679	0 2 18 20 30 32 42 44 60 62	71737582530
SPT(16)	2579743164311064439	0 34 58 78 108 112 154 202 270 318 360 364 394 414 438 472	157902876290
STPT(10)	2579743283894323901	0 2 6 8 48 50 90 92 96 98	277486135752
STPT(10)	2579743389141833261	0 2 6 8 48 50 90 92 96 98	382733645112
SPT(16)	2579743406618973031	0 22 30 48 108 112 120 166 192 238 246 250 310 328 336 358	400210784882