Prime p₀= 2253941369369245847 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: Orange Kid
db: batch=81, k=12, 2 28 2 10 2 46

SPT(16)	2253940004948775827	0 26 50 56 80 90 110 132 140 162 182 192 216 222 246 272	-1364420470020
STPT(10)	2253940253392665191	0 2 6 8 48 50 90 92 96 98	-1115976580656
STPT(10)	2253940328337360041	0 2 36 38 78 80 120 122 156 158	-1041031885806
STPT(10)	2253940403132089499	0 2 42 44 60 62 78 80 120 122	-966237156348
SPT(16)	2253940634548509091	0 22 28 30 82 108 120 180 208 268 280 306 358 360 366 388	-734820736756
STPT(10)	2253941059571999009	0 2 18 20 60 62 102 104 120 122	-309797246838
SPT(16)	2253941381123687887	0 4 90 120 156 184 186 190 210 214 216 244 280 310 396 400	11754442040
STPT(10)	2253941514052992089	0 2 18 20 30 32 42 44 60 62	144683746242
SPT(16)	2253941771820003479	0 42 54 62 90 92 104 194 288 378 390 392 420 428 440 482	402450757632
SPT(16)	2253941850101811407	0 14 24 32 54 66 80 90 116 126 140 152 174 182 192 206	480732565560
TPT(14)	2253941901687540497	0 2 12 14 42 44 54 56 144 146 180 182 240 242	532318294650