Prime p₀= 162586122148302899 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 34 2 10 2 28 2 40 2 (?)
a_n: 0 2 12 14 48 50 60 62 90 92 132 134
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: 134
Found by: Jeff17
db: batch=67, k=12, 10 34 10 28 40

TPT(14)	162586083274201721	0 2 30 32 36 38 120 122 198 200 246 248 366 368	-38874101178
TPT(12)	162586087975401197	0 2 30 32 42 44 90 92 174 176 312 314	-34172901702
SPT(14)	162586090102626991	0 12 42 52 76 82 150 208 276 282 306 316 346 358	-32045675908
STPT(10)	162586090820962691	0 2 36 38 78 80 120 122 156 158	-31327340208
SPT(14)	162586113507334381	0 28 30 42 72 130 160 168 198 256 286 298 300 328	-8640968518
TPT(12)	162586120746426059	0 2 12 14 72 74 102 104 138 140 222 224	-1401876840
SPT(14)	162586144693135679	0 20 32 42 48 68 90 110 132 152 158 168 180 200	22544832780
STPT(10)	162586169450474459	0 2 18 20 30 32 42 44 60 62	47302171560
SPT(16)	162586188723658607	0 42 56 84 102 150 152 162 164 174 176 224 242 270 284 326	66575355708
SPT(14)	162586192222430971	0 82 100 108 142 150 166 222 238 246 280 288 306 388	70074128072
TPT(12)	162586259316029429	0 2 18 20 60 62 72 74 102 104 138 140	137167726530