Prime p₀= 913094988680665319 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 4 2 22 2 4 2 10 2 (?)
a_n: 0 2 12 14 18 20 42 44 48 50 60 62
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: 62
Found by: Theadalus
db: batch=76, k=12, 2 10 2 4 2 22

SPT(16)	913093406398498667	0 42 80 144 146 150 234 270 446 482 566 570 572 636 674 716	-1582282166652
STPT(10)	913093461401317541	0 2 36 38 78 80 120 122 156 158	-1527279347778
SPT(16)	913094065688876527	0 22 52 60 66 84 124 154 162 192 232 250 256 264 294 316	-922991788792
SPT(16)	913094066077736657	0 20 56 90 116 182 210 230 246 266 294 360 386 420 456 476	-922602928662
SPT(16)	913094710738060121	0 42 50 60 62 116 162 168 200 206 252 306 308 318 326 368	-277942605198
STPT(10)	913094774923828967	0 2 30 32 42 44 54 56 84 86	-213756836352
SPT(16)	913095472711677119	0 2 14 42 72 90 120 128 144 152 182 200 230 258 270 272	484031011800
STPT(10)	913095614905418627	0 2 42 44 72 74 102 104 144 146	626224753308
TPT(14)	913095888311637971	0 2 48 50 96 98 276 278 288 290 330 332 420 422	899630972652
TPT(14)	913095967395623591	0 2 60 62 150 152 186 188 228 230 240 242 360 362	978714958272
STPT(10)	913096180771882871	0 2 30 32 78 80 126 128 156 158	1192091217552