Prime p₀= 1340913516501661307 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: szymmirr
db: batch=77, k=12, 2 28 2 28 2 40

TPT(14)	1340912272130408699	0 2 12 14 42 44 72 74 78 80 120 122 150 152	-1244371252608
STPT(10)	1340912405753070119	0 2 48 50 90 92 132 134 180 182	-1110748591188
TPT(14)	1340912654635956377	0 2 42 44 120 122 150 152 174 176 222 224 252 254	-861865704930
SPT(16)	1340912735854969517	0 6 14 42 66 84 114 122 234 242 272 290 314 342 350 356	-780646691790
STPT(10)	1340913212288027969	0 2 42 44 90 92 138 140 180 182	-304213633338
TPT(14)	1340913323025783431	0 2 108 110 150 152 168 170 246 248 276 278 288 290	-193475877876
SPT(16)	1340913595731804013	0 40 66 78 90 100 106 108 166 168 174 184 196 208 234 274	79230142706
SPT(16)	1340913710890263121	0 76 78 82 112 118 126 222 226 322 330 336 366 370 372 448	194388601814
SPT(16)	1340914155081688009	0 30 42 60 64 72 78 88 144 154 160 168 172 190 202 232	638580026702
SPT(16)	1340914268799042023	0 6 20 38 48 60 78 108 116 146 164 176 186 204 218 224	752297380716
STPT(10)	1340914330192888037	0 2 30 32 72 74 114 116 144 146	813691226730