Prime p₀= 1265649080103797819 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 58 2 40 2 58 2 46 2 (?)
a_n: 0 2 48 50 108 110 150 152 210 212 258 260
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: 260
Found by: Skivelitis2
db: batch=77, k=12, 2 46 2 58 2 40

TPT(14)	1265647067257083389	0 2 48 50 60 62 72 74 132 134 222 224 270 272	-2012846714430
STPT(10)	1265647290184067849	0 2 42 44 60 62 78 80 120 122	-1789919729970
SPT(16)	1265648182852279379	0 24 74 108 128 158 164 170 222 228 234 264 284 318 368 392	-897251518440
SPT(16)	1265648426368801571	0 6 62 90 152 186 206 228 230 252 272 306 368 396 452 458	-653734996248
SPT(16)	1265648429415818081	0 50 56 78 90 128 162 170 228 236 270 308 320 342 348 398	-650687979738
STPT(10)	1265648822408763971	0 2 6 8 48 50 90 92 96 98	-257695033848
TPT(14)	1265649379850969327	0 2 84 86 90 92 102 104 222 224 342 344 390 392	299747171508
STPT(10)	1265649624591070217	0 2 30 32 72 74 114 116 144 146	544487272398
STPT(12)	1265649872520622529	0 2 12 14 42 44 48 50 78 80 90 92	792416824710
STPT(10)	1265649955204737857	0 2 42 44 72 74 102 104 144 146	875100940038
SPT(16)	1265651176983891199	0 10 12 52 82 84 112 120 154 162 190 192 222 262 264 274	2096880093380