Prime p₀= 1277671008354552527 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 58 2 10 2 58 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 132 134 144 146 204 206
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: 206
Found by: stoneageman
db: batch=77, k=12, 2 58 2 10 2 58

STPT(10)	1277669729459748197	0 2 24 26 42 44 60 62 84 86	-1278894804330
STPT(10)	1277669920057604261	0 2 156 158 168 170 180 182 336 338	-1088296948266
STPT(10)	1277670072625301021	0 2 6 8 18 20 30 32 36 38	-935729251506
STPT(12)	1277670482343381557	0 2 30 32 54 56 90 92 114 116 144 146	-526011170970
SPT(16)	1277670524952731683	0 34 48 114 144 154 166 196 228 258 270 280 310 376 390 424	-483401820844
SPT(16)	1277670577386793091	0 42 60 62 80 102 120 152 216 248 266 288 306 308 326 368	-430967759436
STPT(10)	1277671158718793099	0 2 48 50 60 62 72 74 120 122	150364240572
STPT(10)	1277671170507394211	0 2 6 8 48 50 90 92 96 98	162152841684
SPT(16)	1277671460891782631	0 50 56 90 110 120 146 152 156 162 188 198 218 252 258 308	452537230104
SPT(18)	1277671497541114957	0 10 22 24 30 36 52 54 66 100 112 114 130 136 142 144 156 166	489186562430
SPT(16)	1277671646218372243	0 34 46 76 154 156 168 198 226 256 268 270 348 378 390 424	637863819716