Prime p₀= 2014274379379680137 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: Landjunge
db: batch=80, k=12, 2 10 2 10 2 4

STPT(10)	2014273520467268897	0 2 42 44 72 74 102 104 144 146	-858912411240
STPT(10)	2014273550000088407	0 2 30 32 60 62 90 92 120 122	-829379591730
STPT(10)	2014273679483026901	0 2 36 38 78 80 120 122 156 158	-699896653236
SPT(16)	2014273686277680589	0 42 54 102 172 208 210 214 258 262 264 300 370 418 430 472	-693101999548
STPT(10)	2014274182345522619	0 2 18 20 30 32 42 44 60 62	-197034157518
SPT(16)	2014274277144014687	0 2 42 50 54 72 92 110 114 132 152 170 174 182 222 224	-102235665450
STPT(10)	2014274645591066447	0 2 30 32 42 44 54 56 84 86	266211386310
STPT(10)	2014275128741512937	0 2 24 26 42 44 60 62 84 86	749361832800
SPT(16)	2014275247911995693	0 6 14 20 50 60 80 104 120 144 164 174 204 210 218 224	868532315556
SPT(16)	2014275399509343757	0 40 64 72 120 160 190 196 210 216 246 286 334 342 366 406	1020129663620
STPT(10)	2014275899466859937	0 2 30 32 42 44 54 56 84 86	1520087179800