Prime p₀= 2862521675873603771 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 64 2 58 2 22 2 58 2 64 2 (?)
a_n: 0 2 66 68 126 128 150 152 210 212 276 278
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: 278
Found by: JayPi
db: batch=82, k=12, 2 64 2 58 2 22

SPT(16)	2862519498348691771	0 22 30 58 72 90 178 192 196 210 298 316 330 358 366 388	-2177524912000
STPT(10)	2862519733578793961	0 2 30 32 78 80 126 128 156 158	-1942294809810
SPT(18)	2862519769328539927	0 60 66 102 126 132 166 180 220 246 286 300 334 340 364 400 406 466	-1906545063844
SPT(16)	2862520479564369157	0 66 70 130 196 210 226 286 294 354 370 384 450 510 514 580	-1196309234614
SPT(16)	2862521077810799063	0 24 50 66 68 86 158 176 228 246 318 336 338 354 380 404	-598062804708
SPT(16)	2862521391173901043	0 28 46 58 70 90 96 126 130 160 166 186 198 210 228 256	-284699702728
STPT(10)	2862521676446702117	0 2 12 14 42 44 72 74 84 86	573098346
SPT(16)	2862521738072069231	0 42 60 68 92 98 138 162 176 200 240 246 270 278 296 338	62198465460
STPT(10)	2862521982874508621	0 2 6 8 18 20 30 32 36 38	307000904850
SPT(16)	2862522383158464709	0 12 30 60 72 100 130 138 172 180 210 238 250 280 298 310	707284860938
SPT(16)	2862522510931378151	0 6 30 42 126 146 212 296 336 420 486 506 590 602 626 632	835057774380