Prime p₀= 2134586213047307099 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: 122
Found by: CoolAtchOk
db: batch=80, k=12, 2 10 2 28 2 34

SPT(16)	2134585484843605121	0 20 30 48 66 80 158 168 170 180 258 272 290 308 318 338	-728203701978
STPT(10)	2134585489129091039	0 2 18 20 30 32 42 44 60 62	-723918216060
SPT(16)	2134585880330174267	0 12 50 104 146 150 182 192 194 204 236 240 282 336 374 386	-332717132832
SPT(16)	2134585888595727431	0 2 8 20 36 56 98 132 176 210 252 272 288 300 306 308	-324451579668
SPT(16)	2134586072929427197	0 12 16 54 106 112 120 124 222 226 234 240 292 330 334 346	-140117879902
STPT(10)	2134586074894613927	0 2 30 32 72 74 114 116 144 146	-138152693172
SPT(16)	2134586304703223051	0 30 36 72 92 132 156 168 170 182 206 246 266 302 308 338	91655915952
STPT(10)	2134586354196606221	0 2 6 8 18 20 30 32 36 38	141149299122
SPT(16)	2134586550235025857	0 34 46 54 64 76 102 124 132 154 180 192 202 210 222 256	337187718758
SPT(16)	2134586621248224827	0 6 60 84 102 116 150 162 164 176 210 224 242 266 320 326	408200917728
SPT(16)	2134586644149822217	0 6 34 124 136 180 192 214 342 364 376 420 432 522 550 556	431102515118