Prime p₀= 400275613179835667 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 160 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 162 164 180 182 204 206 222 224 264 266
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: 266
Found by: Ralfy
db: batch=70, k=12, 160 16 22 16 40

SPT(16)	400275498907985299	0 18 22 60 82 88 120 180 280 340 372 378 400 438 442 460	-114271850368
SPT(14)	400275541968731113	0 34 40 46 58 90 100 114 124 156 168 174 180 214	-71211104554
SPT(14)	400275563237337611	0 48 68 96 110 150 200 258 308 348 362 390 410 458	-49942498056
TPT(12)	400275564743863847	0 2 42 44 54 56 84 86 120 122 150 152	-48435971820
TPT(12)	400275569825550407	0 2 30 32 42 44 60 62 84 86 132 134	-43354285260
SPT(16)	400275585453121949	0 2 42 90 110 120 132 204 230 302 314 324 344 392 432 434	-27726713718
TPT(12)	400275630607176437	0 2 12 14 114 116 180 182 192 194 330 332	17427340770
SPT(14)	400275633850906273	0 4 54 84 96 106 130 204 228 238 250 280 330 334	20671070606
SPT(14)	400275672089032039	0 58 82 124 132 138 222 280 364 370 378 420 444 502	58909196372
SPT(14)	400275676703597803	0 36 70 154 166 168 210 274 316 318 330 414 448 484	63523762136
STPT(10)	400275686457388409	0 2 48 50 90 92 132 134 180 182	73277552742