Prime p₀= 2305780515421502057 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 214 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 240 242 252 254 264 266
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: 266
Found by: Orange Kid
db: batch=81, k=12, 2 10 2 10 2 214

SPT(16)	2305778518597844387	0 32 80 102 110 122 132 144 152 164 174 186 194 216 264 296	-1996823657670
TPT(14)	2305779037594586129	0 2 30 32 42 44 270 272 342 344 450 452 492 494	-1477826915928
SPT(13)	2305779198479698163	0 6 48 66 96 126 138 150 180 210 228 270 276	-1316941803894
SPT(16)	2305779665547791299	0 10 18 34 60 114 124 130 138 144 154 208 234 250 258 268	-849873710758
STPT(10)	2305780359577099157	0 2 30 32 42 44 54 56 84 86	-155844402900
SPT(16)	2305780468682752393	0 54 150 154 168 234 258 268 300 310 334 400 414 418 514 568	-46738749664
STPT(10)	2305780537880674037	0 2 30 32 42 44 54 56 84 86	22459171980
SPT(16)	2305780925975779643	0 6 14 20 110 114 146 150 230 234 266 270 360 366 374 380	410554277586
TPT(14)	2305781106859449137	0 2 72 74 84 86 90 92 114 116 162 164 174 176	591437947080
SPT(16)	2305781246158363549	0 30 64 70 78 88 102 108 154 160 174 184 192 198 232 262	730736861492
SPT(16)	2305781438373885937	0 12 40 70 112 154 174 180 274 280 300 342 384 414 442 454	922952383880