Prime p₀= 1321092059499518879 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 40 2 76 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 138 140 180 182 198 200
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: 200
Found by: Megacruncher
db: batch=77, k=12, 2 16 2 40 2 76

SPT(16)	1321090905344977853	0 50 56 114 126 140 164 170 204 210 234 248 260 318 324 374	-1154154541026
SPT(16)	1321090934130457037	0 44 80 84 86 104 114 116 240 242 252 270 272 276 312 356	-1125369061842
SPT(16)	1321091062712584463	0 54 150 164 170 180 186 200 234 248 254 264 270 284 380 434	-996786934416
STPT(10)	1321091149667647619	0 2 18 20 30 32 42 44 60 62	-909831871260
SPT(16)	1321091348566187333	0 66 80 84 104 116 146 156 158 168 198 210 230 234 248 314	-710933331546
SPT(16)	1321091602543143857	0 2 20 44 72 132 144 150 164 170 182 242 270 294 312 314	-456956375022
SPT(16)	1321092463829990321	0 18 26 56 72 86 138 152 156 170 222 236 252 282 290 308	404330471442
SPT(16)	1321092784999605197	0 12 20 26 56 74 90 140 156 206 222 240 270 276 284 296	725500086318
SPT(18)	1321093094581906637	0 24 50 66 80 90 104 134 150 176 192 222 236 246 260 276 302 326	1035082387758
TPT(14)	1321093228099175549	0 2 18 20 42 44 132 134 228 230 252 254 270 272	1168599656670
SPT(16)	1321093460267073253	0 18 34 48 60 76 94 124 180 210 228 244 256 270 286 304	1400767554374