Prime p₀= 2943219088704898877 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: Alnitak2019
db: batch=82, k=12, 2 10 2 10 2 4

SPT(16)	2943218379791183701	0 12 16 30 78 88 100 126 142 168 180 190 238 252 256 268	-708913715176
SPT(16)	2943218567767452049	0 10 28 54 132 192 210 234 238 262 280 340 418 444 462 472	-520937446828
SPT(16)	2943218678555019181	0 18 58 66 72 88 100 148 150 198 210 226 232 240 280 298	-410149879696
SPT(16)	2943218773072674277	0 34 42 60 126 150 192 216 280 304 346 370 436 454 462 496	-315632224600
STPT(10)	2943218878322949011	0 2 30 32 60 62 90 92 120 122	-210381949866
TPT(14)	2943218974264095419	0 2 48 50 90 92 138 140 180 182 252 254 270 272	-114440803458
TPT(14)	2943219824372891099	0 2 150 152 210 212 252 254 318 320 372 374 408 410	735667992222
STPT(10)	2943220304725612799	0 2 18 20 30 32 42 44 60 62	1216020713922
STPT(10)	2943220412445312911	0 2 6 8 18 20 30 32 36 38	1323740414034
SPT(16)	2943220602186239269	0 24 34 52 60 72 88 160 192 264 280 292 300 318 328 352	1513481340392
STPT(10)	2943221304151665767	0 2 24 26 42 44 60 62 84 86	2215446766890