Prime p₀= 2982580055882019869 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 48 50 78 80 90 92
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: 92
Found by: Orange Kid
db: batch=82, k=12, 2 10 2 28 2 4

SPT(16)	2982578238499298227	0 10 24 130 144 162 202 204 220 222 262 280 294 400 414 424	-1817382721642
SPT(16)	2982578402512328999	0 30 32 54 92 144 162 168 254 260 278 330 368 390 392 422	-1653369690870
SPT(16)	2982578616220489471	0 6 76 78 126 168 202 232 306 336 370 412 460 462 532 538	-1439661530398
SPT(16)	2982578800605181031	0 48 50 60 62 72 86 90 128 132 146 156 158 168 170 218	-1255276838838
STPT(10)	2982578934836374607	0 2 24 26 42 44 60 62 84 86	-1121045645262
STPT(10)	2982579692253102437	0 2 60 62 72 74 84 86 144 146	-363628917432
SPT(16)	2982580098052633657	0 34 36 66 90 102 112 124 132 144 154 166 190 220 222 256	42170613788
STPT(10)	2982580519019713457	0 2 24 26 42 44 60 62 84 86	463137693588
STPT(10)	2982580788277381139	0 2 30 32 60 62 90 92 120 122	732395361270
TPT(14)	2982580878559130129	0 2 12 14 78 80 108 110 138 140 150 152 210 212	822677110260
SPT(16)	2982580911302885689	0 58 70 82 174 208 234 250 252 268 294 328 420 432 444 502	855420865820