Prime p₀= 159856109929486307 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 10 2 76 2 (?)
a_n: 0 2 30 32 42 44 72 74 84 86 162 164
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: 164
Found by: emoga
db: batch=67, k=12, 28 10 28 10 76

SPT(14)	159856038464578681	0 10 18 42 66 78 96 112 130 142 166 190 198 208	-71464907626
SPT(14)	159856038631144327	0 6 36 54 76 82 90 106 114 120 142 160 190 196	-71298341980
TPT(12)	159856051180243259	0 2 78 80 240 242 312 314 342 344 372 374	-58749243048
TPT(12)	159856065787504181	0 2 60 62 96 98 138 140 198 200 216 218	-44141982126
SPT(14)	159856066408709389	0 10 34 42 52 112 130 234 252 312 322 330 354 364	-43520776918
SPT(14)	159856078524336211	0 10 12 42 52 90 96 136 142 180 190 220 222 232	-31405150096
SPT(14)	159856123145272709	0 8 24 42 80 84 114 128 158 162 200 218 234 242	13215786402
SPT(14)	159856142594296591	0 10 78 108 112 120 192 196 268 276 280 310 378 388	32664810284
SPT(14)	159856150704844969	0 30 82 114 118 154 190 222 258 294 298 330 382 412	40775358662
SPT(14)	159856158885624413	0 6 14 36 56 66 78 86 98 108 128 150 158 164	48956138106
SPT(16)	159856166373471661	0 16 18 36 46 60 106 120 136 150 196 210 220 238 240 256	56443985354