Prime p₀= 2384858644450953761 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 124 2 28 2 22 2 28 2 124 2 (?)
a_n: 0 2 126 128 156 158 180 182 210 212 336 338
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: 338
Found by: ChUcK
db: batch=81, k=12, 2 124 2 28 2 22

SPT(16)	2384857577524967777	0 36 42 72 110 122 150 170 246 266 294 306 344 374 380 416	-1066925985984
STPT(10)	2384857776979676111	0 2 36 38 78 80 120 122 156 158	-867471277650
SPT(16)	2384857840454127047	0 32 42 44 84 104 150 164 192 206 252 272 312 314 324 356	-803996826714
SPT(16)	2384857917702793909	0 60 78 90 94 112 150 190 192 232 270 288 292 304 322 382	-726748159852
STPT(12)	2384858053596419447	0 2 12 14 54 56 60 62 102 104 114 116	-590854534314
STPT(10)	2384858082124585349	0 2 18 20 60 62 102 104 120 122	-562326368412
SPT(18)	2384858743937716451	0 18 20 48 56 80 98 108 138 158 188 198 216 240 248 276 278 296	99486762690
STPT(10)	2384859736809334397	0 2 30 32 42 44 54 56 84 86	1092358380636
SPT(16)	2384859990474168143	0 30 48 56 60 126 128 156 170 198 200 266 270 278 296 326	1346023214382
SPT(16)	2384860038375851329	0 40 60 82 112 130 154 184 198 228 252 270 300 322 342 382	1393924897568
STPT(10)	2384860317059800157	0 2 30 32 42 44 54 56 84 86	1672608846396