Prime p₀= 1270375504086868349 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 34 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 78 80 102 104 120 122
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: Skivelitis2
db: batch=77, k=12, 2 16 2 22 2 34

SPT(16)	1270373883785760563	0 14 54 60 78 90 140 144 260 264 314 326 344 350 390 404	-1620301107786
STPT(10)	1270373951940950069	0 2 12 14 90 92 168 170 180 182	-1552145918280
STPT(10)	1270374354011277797	0 2 42 44 72 74 102 104 144 146	-1150075590552
TPT(14)	1270374779088148619	0 2 12 14 18 20 72 74 210 212 222 224 252 254	-724998719730
SPT(16)	1270375297112308447	0 12 30 64 82 112 166 190 216 240 294 324 342 376 394 406	-206974559902
SPT(16)	1270375321078045639	0 42 64 88 90 160 184 228 244 288 312 382 384 408 430 472	-183008822710
STPT(10)	1270375505992371011	0 2 36 38 78 80 120 122 156 158	1905502662
SPT(16)	1270376090965107913	0 30 64 70 94 108 114 120 154 160 166 180 204 210 244 274	586878239564
STPT(10)	1270376272390892657	0 2 12 14 72 74 132 134 144 146	768304024308
STPT(10)	1270376350074483317	0 2 12 14 42 44 72 74 84 86	845987614968
TPT(14)	1270376396047616129	0 2 42 44 72 74 138 140 150 152 180 182 252 254	891960747780