Prime p₀= 247778713732667891 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 178 2 16 2 10 2 88 2 4 2 (?)
a_n: 0 2 180 182 198 200 210 212 300 302 306 308
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: 308
Found by: EarlyBird@Zircons
db: batch=69, k=12, 178 16 10 88 4

TPT(12)	247778657898511721	0 2 78 80 90 92 120 122 198 200 210 212	-55834156170
TPT(12)	247778665988420297	0 2 12 14 24 26 54 56 90 92 222 224	-47744247594
SPT(14)	247778684420840971	0 10 28 46 58 66 102 136 172 180 192 210 228 238	-29311826920
SPT(14)	247778690683648373	0 20 78 120 156 176 188 198 210 230 266 308 366 386	-23049019518
TPT(12)	247778692032687371	0 2 48 50 78 80 150 152 180 182 210 212	-21699980520
TPT(12)	247778708880662501	0 2 36 38 78 80 90 92 150 152 276 278	-4852005390
SPT(14)	247778723141760857	0 2 30 60 72 90 132 254 296 314 326 356 384 386	9409092966
SPT(14)	247778729872695449	0 80 108 212 290 318 324 338 344 372 450 554 582 662	16140027558
SPT(14)	247778740019613617	0 2 36 44 66 80 86 90 96 110 132 140 174 176	26286945726
SPT(14)	247778755904001433	0 4 34 60 88 94 144 160 210 216 244 270 300 304	42171333542
SPT(14)	247778760337614757	0 10 16 52 82 160 172 180 192 270 300 336 342 352	46604946866