Prime p₀= 2519781588239651297 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 132 134 174 176
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: 176
Found by: JayPi
db: batch=82, k=12, 2 40 2 28 2 28

STPT(10)	2519780692352310587	0 2 30 32 72 74 114 116 144 146	-895887340710
SPT(16)	2519780807024398873	0 40 64 76 106 174 198 204 250 256 280 348 378 390 414 454	-781215252424
STPT(10)	2519780973012222131	0 2 36 38 78 80 120 122 156 158	-615227429166
STPT(10)	2519781295369032509	0 2 12 14 90 92 168 170 180 182	-292870618788
STPT(10)	2519781362649871259	0 2 30 32 60 62 90 92 120 122	-225589780038
SPT(16)	2519781375173013773	0 24 86 96 98 156 174 180 224 230 248 306 308 318 380 404	-213066637524
TPT(14)	2519781612649282901	0 2 6 8 36 38 78 80 96 98 168 170 210 212	24409631604
STPT(10)	2519781621098683727	0 2 30 32 60 62 90 92 120 122	32859032430
STPT(10)	2519781834398023607	0 2 24 26 42 44 60 62 84 86	246158372310
SPT(16)	2519782072620823909	0 42 48 82 112 114 150 204 238 292 328 330 360 394 400 442	484381172612
STPT(10)	2519782406833032827	0 2 54 56 132 134 210 212 264 266	818593381530