Prime p₀= 2782546853529615629 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 70 2 148 2 70 2 16 2 (?)
a_n: 0 2 18 20 90 92 240 242 312 314 330 332
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: 332
Found by: conf [MM]
db: batch=82, k=12, 2 16 2 70 2 148

STPT(10)	2782545742004633069	0 2 12 14 90 92 168 170 180 182	-1111524982560
STPT(10)	2782545928146827807	0 2 30 32 42 44 54 56 84 86	-925382787822
STPT(10)	2782545960776114957	0 2 30 32 72 74 114 116 144 146	-892753500672
STPT(10)	2782546516487822639	0 2 18 20 60 62 102 104 120 122	-337041792990
SPT(16)	2782546631820016777	0 16 42 46 60 72 84 112 144 172 184 196 210 214 240 256	-221709598852
SPT(16)	2782546821961189469	0 32 44 60 92 158 180 194 228 242 264 330 362 378 390 422	-31568426160
STPT(10)	2782546881898975019	0 2 48 50 90 92 132 134 180 182	28369359390
SPT(16)	2782547124105369221	0 18 66 72 108 116 128 156 182 210 222 230 266 272 320 338	270575753592
SPT(16)	2782547189175449863	0 34 40 136 216 238 244 256 258 270 276 298 378 474 480 514	335645834234
SPT(16)	2782547519789730107	0 20 24 42 44 90 134 140 156 162 206 252 254 272 276 296	666260114478
SPT(16)	2782547867282110861	0 42 82 96 120 148 162 190 198 226 240 268 292 306 346 388	1013752495232