Prime p₀= 1101069387946177649 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 16 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 60 62 72 74 102 104
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: 104
Found by: Theadalus
db: batch=76, k=12, 2 28 2 10 2 16

SPT(16)	1101068498070950029	0 4 52 54 60 84 88 108 154 174 178 202 208 210 258 262	-889875227620
STPT(10)	1101068676394993211	0 2 6 8 48 50 90 92 96 98	-711551184438
SPT(16)	1101068846749482547	0 6 46 52 54 72 180 192 244 256 364 382 384 390 430 436	-541196695102
STPT(12)	1101068855006433917	0 2 30 32 42 44 90 92 102 104 132 134	-532939743732
SPT(16)	1101068973446145491	0 12 20 42 50 60 62 78 110 126 128 138 146 168 176 188	-414500032158
STPT(12)	1101069255565821959	0 2 30 32 60 62 72 74 102 104 132 134	-132380355690
STPT(10)	1101069511536329519	0 2 18 20 30 32 42 44 60 62	123590151870
SPT(16)	1101069575442737671	0 18 36 40 46 58 70 72 196 198 210 222 228 232 250 268	187496560022
STPT(10)	1101069675133642259	0 2 12 14 90 92 168 170 180 182	287187464610
SPT(16)	1101069806122635971	0 20 32 62 72 90 152 182 198 228 290 308 318 348 360 380	418176458322
STPT(10)	1101069925360763777	0 2 12 14 42 44 72 74 84 86	537414586128