Prime p₀= 1565779266901049 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 178 2 46 2 22 2 4 2 10 2 (?)
a_n: 0 2 180 182 228 230 252 254 258 260 270 272
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: 272
Found by: BlackGoose05
db: batch=60, k=12, 178 46 22 4 10

STPT(10)	1565747728706207	0 2 54 56 72 74 90 92 144 146	-31538194842
TPT(12)	1565756392659071	0 2 18 20 30 32 90 92 96 98 198 200	-22874241978
SPT(14)	1565765206663121	0 32 48 80 92 98 116 132 150 156 168 200 216 248	-14060237928
SPT(14)	1565769302495003	0 8 50 56 86 110 156 158 204 228 258 264 306 314	-9964406046
SPT(14)	1565770223428331	0 6 8 12 62 90 92 96 98 126 176 180 182 188	-9043472718
SPT(14)	1565771382310489	0 4 12 34 40 54 60 112 118 132 138 160 168 172	-7884590560
SPT(14)	1565785239045101	0 2 6 18 20 26 62 96 132 138 140 152 156 158	5972144052
SPT(14)	1565787697006657	0 24 64 66 70 82 106 150 174 186 190 192 232 256	8430105608
SPT(14)	1565788615170179	0 2 8 14 30 38 60 182 204 212 228 234 240 242	9348269130
SPT(16)	1565790445864913	0 30 38 66 86 116 144 156 158 170 198 228 248 276 284 314	11178963864
SPT(14)	1565790646054009	0 34 64 70 82 162 190 222 250 330 342 348 378 412	11379152960